Greetings blog readers! I haven't been very active on this blog lately. There is a good reason for that. I have been in the process of pursuing a new professional opportunity. And I took a vacation. Ok, that's two reasons. So, I've been sorta busy :). Let me fill you in.
Effective August 16th, 2012, I will no longer be an employee of the Midwest Instructional Leadership Council (miLc). miLc is an outstanding organization, full of people for whom I have the highest respect. It has been an absolute honor working at miLc this past year. We have successfully put on our fifth annual RtI Leadership Summit, as well as research-to-practice learning institutes for the early childhood and high school levels. We have provided a wide range of consultative services for schools, districts, and state departments of education. milc will continue to provide these services, as well as new ones, after I leave. I have learned a lot, and received a lot, this past year. I hope that I've made my share of positive contributions as well.
The reason I am leaving miLc is because of an incredibly exciting new opportunity in my home state of Iowa. As of August 17th, 2012, I will be the Iowa Core Curriculum Consultant for Teachers of Students on IEPs for the Iowa Department of Education. Although there is still plenty of defining to do in terms of what my roles and functions will be, in general my focus will be supporting the AEAs, districts, and schools to increase achievement for students with disabilities within a standards-based system. This position represents an intersection of standards, RtI, and alignment that were the focus of my graduate school minor. I am incredibly passionate about this work, and am blessed to have an opportunity to pursue it in my home state of Iowa.
So, that's the scoop. I still plan to keep blogging and tweeting. I imagine that in time I'll find some new communication methods in a more official capacity as well. I'm super excited! Thanks for reading, and I'll be back soon.
Tuesday, August 14, 2012
Wednesday, June 27, 2012
Foundations Series: What is Dimensions? - Cognitive Complexity/Demand
Well, it's the end of June. Most students are out and about enjoying the summer break, as are many teachers. As well they should be. You all have earned a break after another long and challenging year, but hopefully a rewarding one. But knowing educators as I do, you're never really completely done or unplugged. So, I am here for you, to help you keep those neurons firing. And what better topic than curriculum alignment! Here we go.
Last month, I began to unpack the alignment dimension of topical/conceptual knowledge. I defined topical/conceptual knowledge as "the subjects, information, and ideas that students are supposed to learn," (Niebling, Roach, Rahn-Blakeslee, 2008) otherwise know as stuff kids need to learn. I know, not exactly fancy. But I think it gets the job done. This month, I am going to unpack the second dimension in the alignment framework I use, known as cognitive complexity/demand. I define cognitive complexity/demand as
what students are expected to do with the topical/conceptual knowledge. (Niebling, Roach, Rahn-Blakeslee, 2008)
The idea is this: during the schooling process, we don't just try to plug topics and concepts into students' heads to live there unused. We want our students to do something mentally (i.e., cognitively) with those topics and concepts. Oftentimes, we generically describe the "do something mentally" process as understanding. Now, understanding is a loaded concept; it could mean just about anything. My goal isn't to unpack this concept, but rather to use it as an example as to how we can be as objective as possible in dealing with cognitive complexity.
In the field of alignment, it is common practice to use a cognitive complexity/demand framework as a lens to examine the intended, enacted, assessed, and/or learned curriculum. One of the end products of such an examination is to determine or explain the type of mental activities called for in the curriculum. Or, to take it a step further, cognitive complexity/demand frameworks can help us examine the degree of alignment along this dimension between two different curricular elements (e.g., enacted to intended).
What are some examples of cognitive complexity/demand frameworks?
Great question! I thought you'd never ask. I use three different cognitive complexity/demand frameworks in my curriculum alignment work: (a) Bloom's Revised Cognitive Taxonomy, (b) Webb's Depth of Knowledge Framework, and (c) the Surveys of Enacted Curriculum Cognitive Demand framework. I'll explain each of these very briefly. The titles for each bullet point below are also links to more information about that taxonomy/framework.
Surveys of Enacted Curriculum (SEC) Cognitive Demand Framework: The SEC cognitive demand framework is similar to Bloom's RCT, in that is generally organized from less to more complex. Furthermore, multiple levels can be assigned to a curricular element (e.g,. to a single standard or test item). Unlike Bloom's RCT, the SEC is content-specific, with frameworks for English/Language Arts, Mathematics, Science, and Social Studies. For example, the framework for Mathematics is as follows: Memorize Facts, Definitions, Formulas; Perform Procedures; Demonstrate Understanding of Mathematical Ideas; Conjecture, Analyze, Generalize, Prove; and Solve Non-routine Problems/Make Connections.
Last month, I began to unpack the alignment dimension of topical/conceptual knowledge. I defined topical/conceptual knowledge as "the subjects, information, and ideas that students are supposed to learn," (Niebling, Roach, Rahn-Blakeslee, 2008) otherwise know as stuff kids need to learn. I know, not exactly fancy. But I think it gets the job done. This month, I am going to unpack the second dimension in the alignment framework I use, known as cognitive complexity/demand. I define cognitive complexity/demand as
what students are expected to do with the topical/conceptual knowledge. (Niebling, Roach, Rahn-Blakeslee, 2008)
The idea is this: during the schooling process, we don't just try to plug topics and concepts into students' heads to live there unused. We want our students to do something mentally (i.e., cognitively) with those topics and concepts. Oftentimes, we generically describe the "do something mentally" process as understanding. Now, understanding is a loaded concept; it could mean just about anything. My goal isn't to unpack this concept, but rather to use it as an example as to how we can be as objective as possible in dealing with cognitive complexity.
In the field of alignment, it is common practice to use a cognitive complexity/demand framework as a lens to examine the intended, enacted, assessed, and/or learned curriculum. One of the end products of such an examination is to determine or explain the type of mental activities called for in the curriculum. Or, to take it a step further, cognitive complexity/demand frameworks can help us examine the degree of alignment along this dimension between two different curricular elements (e.g., enacted to intended).
What are some examples of cognitive complexity/demand frameworks?
Great question! I thought you'd never ask. I use three different cognitive complexity/demand frameworks in my curriculum alignment work: (a) Bloom's Revised Cognitive Taxonomy, (b) Webb's Depth of Knowledge Framework, and (c) the Surveys of Enacted Curriculum Cognitive Demand framework. I'll explain each of these very briefly. The titles for each bullet point below are also links to more information about that taxonomy/framework.
Bloom's Revised Cognitive Taxonomy (RCT): Almost every educator has heard of "Bloom's." It comes up in almost every teacher preparation program. It's now called the Revised Taxonomy because, well, they revised it. There is a knowledge taxonomy as well as a cognitive taxonomy. The cognitive taxonomy is content neutral, and includes the following levels: Remember, Understand, Apply, Analyze, Evaluate, Create. It is organized, for the most part, from less to more sophisticated thinking, though there is overlap between the different levels. Furthermore, it is not assumed that a student must master skills at the lower levels to be able to engage in the higher-leveled thinking skills. Finally, when examining any curricular element, multiple levels may be assigned (e.g,. to a single standard or test item).
Surveys of Enacted Curriculum (SEC) Cognitive Demand Framework: The SEC cognitive demand framework is similar to Bloom's RCT, in that is generally organized from less to more complex. Furthermore, multiple levels can be assigned to a curricular element (e.g,. to a single standard or test item). Unlike Bloom's RCT, the SEC is content-specific, with frameworks for English/Language Arts, Mathematics, Science, and Social Studies. For example, the framework for Mathematics is as follows: Memorize Facts, Definitions, Formulas; Perform Procedures; Demonstrate Understanding of Mathematical Ideas; Conjecture, Analyze, Generalize, Prove; and Solve Non-routine Problems/Make Connections.
Webb's Depth of Knowledge (DOK) Framework: Webb's DOK framework shares one primary similarity with the SEC: it is content specific. There are DOK frameworks for Reading and Writing, Mathematics, Science, and Social Studies. The generic labels for DOK levels are Recall, Skills/Concepts, Strategic Thinking, and Extended Thinking. Unlike both Bloom's RCT and the SEC, typical application of the DOK framework involves assigning one DOK level for each component of a curricular element
(e.g,. to a single standard or test item). There are exceptions to this practice. For example, in many cases, multiple DOK levels have been assigned to the Common Core State Standards in English/Language Arts and Mathematics.
In my mind, there are several very practical implications of cognitive complexity/demand. But what is practical for me isn't necessarily practical for most everyone else. With that said, there are a few biggies worth mentioning here:
That's it for this month gang. Check back next month when I dig into the next alignment dimension, emphasis. Until then, follow me on Twitter. Thanks for reading!
References
Gamoran, A., Porter, A. C., Smithson, J. L., & White, P. A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19, 325-338.
Niebling, B.C., Roach, A.T., Rahn-Blakeslee, A. (2008). Best practices in curriculum, instruction, and enacted curriculum. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology 5 (Vol. 4), 1059-1072. Bethesda, MD: National Association of School Psychologists.
Ok, that was a lot, and I really only scratched the surface. Cognitive complexity/demand is, well, complex. This post is already getting long, and I haven't even provided examples of using each of these approaches to cognitive complexity. I'm afraid I'll have to save that for another time. Hopefully the links can provide you with some additional helpful information. Let's dig into some research, shall we?
What does research say about cognitive complexity/demand?
To understand what research has to say about cognitive complexity/demand, it's important to know that this concept is also studied in the context of "rigor" and "higher-order thinking skills." This matters, because research in these related areas can provide us information on the role of cognitive complexity/demand when it comes to student learning. Some of what we know about cognitive complexity/demand and alignment is fairly broad, and certainly correlational. For example, international studies such as the TIMSS (Trends in International Mathematics and Science Study) have pointed to practices in countries where students outperform U.S. students that could ultimately help improve student learning in the United States. Included in these high-performing countries are a focus on fewer topics/concepts, and working with students to support deeper (i.e., more cognitively complex) thinking.
A more direct approach to examining the role of cognitive complexity/demand and alignment was taken by Adam Gamoran and his colleagues back in 1997. In this study they examined the enacted to assessed curriculum relationship to see how that impacted growth in student achievement. What they found was that as enacted to assessed curriculum alignment increased, so to did student achievement growth. Interestingly, this relationship was found only when cognitive complexity/demand was included in the alignment examination, while looking at just topical/conceptual knowledge alignment did not. Although correlational and not causal, this study was well designed and executed, and the results were compelling. In this study, alignment accounted for over 40% of student score variance at the classroom level. That means, out of all the things they studied plus the error that happens in every study, over 40% of what explained student scores was alignment. That's a pretty big amount.
Unfortunately, the profound results of this study have not been replicated to the same extent since then when it comes to cognitive complexity/demand, though I'm hopeful that the work being done by Alexander Kurz and Steve Elliott with the My instructional Learning Objectives Guidance System (MyiLOGS) and my work with the Iowa Curriculum Alignment Toolkit (I-CAT), as well as continued work with the SEC will yield similar results in the future.
A more direct approach to examining the role of cognitive complexity/demand and alignment was taken by Adam Gamoran and his colleagues back in 1997. In this study they examined the enacted to assessed curriculum relationship to see how that impacted growth in student achievement. What they found was that as enacted to assessed curriculum alignment increased, so to did student achievement growth. Interestingly, this relationship was found only when cognitive complexity/demand was included in the alignment examination, while looking at just topical/conceptual knowledge alignment did not. Although correlational and not causal, this study was well designed and executed, and the results were compelling. In this study, alignment accounted for over 40% of student score variance at the classroom level. That means, out of all the things they studied plus the error that happens in every study, over 40% of what explained student scores was alignment. That's a pretty big amount.
Unfortunately, the profound results of this study have not been replicated to the same extent since then when it comes to cognitive complexity/demand, though I'm hopeful that the work being done by Alexander Kurz and Steve Elliott with the My instructional Learning Objectives Guidance System (MyiLOGS) and my work with the Iowa Curriculum Alignment Toolkit (I-CAT), as well as continued work with the SEC will yield similar results in the future.
What are the practical implications?
In my mind, there are several very practical implications of cognitive complexity/demand. But what is practical for me isn't necessarily practical for most everyone else. With that said, there are a few biggies worth mentioning here:
- Leaning about cognitive complexity/demand: You should learn about cognitive complexity/demand frameworks, as well as how to use them. It's not magic, and the work can be challenging and at times frustrating. But if you start to get it, my guess is that you will start to think about your instruction and assessment in a different way, and hopefully help you implement not only a more rigorous enacted curriculum, but a tighter-aligned enacted curriculum as well.
- Designing and delivering instruction: Whether you use a published set of textbooks/materials or develop your own, it's not good enough to look at the standards or state test and say that some part of your instructional materials "matches" them. That's not even good enough for topical/conceptual knowledge. Typically, in my experience, cognitive complexity/demand doesn't even enter this situation, but it needs to. Use a cognitive complexity/demand framework in addition to your standards to help you select or design instructional materials. How you ultimately deliver those materials is your enacted curriculum. What sort of cognitive processes did your students engage in?
- Designing and delivering assessment: I'll make this one easy. Everything I just said in #1 applies to designing and delivering assessment.
Final thoughts
If nothing else, I hope you remember this: it's all about student thinking, and frameworks help us capture the type of thinking found in the different curricular elements. We've got a pretty compelling research foundation for the importance of cognitive complexity/demand, though that research is primarily correlational. I also think that cognitive complexity/demand is really the bridge between what we teach and how we teach it.
That's it for this month gang. Check back next month when I dig into the next alignment dimension, emphasis. Until then, follow me on Twitter. Thanks for reading!
References
Gamoran, A., Porter, A. C., Smithson, J. L., & White, P. A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19, 325-338.
Niebling, B.C., Roach, A.T., Rahn-Blakeslee, A. (2008). Best practices in curriculum, instruction, and enacted curriculum. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology 5 (Vol. 4), 1059-1072. Bethesda, MD: National Association of School Psychologists.
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Thursday, May 31, 2012
Foundations Series: What is Dimensions? - Topical/Conceptual Knowledge
Greetings alignment fans! I hope that all of you had a fantastic Memorial Day Weekend, and are feeling rejuvenated. I know I am. I spent the weekend with my wife and dog in Fargo, ND visiting some dear friends. Believe it or not, I didn't even think about alignment. Ok, I hardly thought about alignment. Sometimes it just jumps right in ol' noggin. So, last month, I more or less took off from blogging. Nevertheless, I'm here to dig into another foundational alignment concept. Before I get too far down that path, let's briefly recall the working definition for the term alignment:
"the extent to and how well all curricular categories and the elements within them (e.g., content standards, instructional content, and assessment practices) work together to guide instruction and, ultimately, facilitate and facilitate student learning." (e.g., Webb, 1997)
The point of this definition isn't just that alignment means that curriculum is coordinated/similar. The bigger point is that this coordination is done for the purpose of supporting student learning. If that's not our clear purpose, then our work is misguided. Ok, moving along...
The month before my brief hiatus was focused on the question "What is Directionality?" You can see the overall alignment picture for the framework I use, as well as where Directionality fits, under the green oval on the left.
This month, I will focus on the question "What is Dimensions?" You can find that in the figure above under the blue oval in the center. That question, I realize, is a bit clunky the way it is phrased. Think of it this way: the term Dimensions is a categorical label. Anyway, Dimensions is such a broad and important concept, I'm actually going to be breaking it down into three sub-categories, each of which I will explore in single blog posts. I will start with the alignment dimension of Topical/Conceptual Knowledge.
What is topical/conceptual knowledge?
Briefly, topical/conceptual knowledge is:
the subjects, information, and ideas that students are supposed to learn. (Niebling, Roach, Rahn-Blakeslee, 2008)
A less elegant way to state that definition is this: stuff kids need to learn. Through this lens, we aren't concerned about what students are supposed to do with the "stuff" they are learning, what sort of cognitive activity we hope to evoke in their minds. No, this is really just about the facts, topics, ideas, and concepts they are supposed to learn. Here are some examples:
"the extent to and how well all curricular categories and the elements within them (e.g., content standards, instructional content, and assessment practices) work together to guide instruction and, ultimately, facilitate and facilitate student learning." (e.g., Webb, 1997)
The point of this definition isn't just that alignment means that curriculum is coordinated/similar. The bigger point is that this coordination is done for the purpose of supporting student learning. If that's not our clear purpose, then our work is misguided. Ok, moving along...
The month before my brief hiatus was focused on the question "What is Directionality?" You can see the overall alignment picture for the framework I use, as well as where Directionality fits, under the green oval on the left.
This month, I will focus on the question "What is Dimensions?" You can find that in the figure above under the blue oval in the center. That question, I realize, is a bit clunky the way it is phrased. Think of it this way: the term Dimensions is a categorical label. Anyway, Dimensions is such a broad and important concept, I'm actually going to be breaking it down into three sub-categories, each of which I will explore in single blog posts. I will start with the alignment dimension of Topical/Conceptual Knowledge.
What is topical/conceptual knowledge?
Briefly, topical/conceptual knowledge is:
the subjects, information, and ideas that students are supposed to learn. (Niebling, Roach, Rahn-Blakeslee, 2008)
A less elegant way to state that definition is this: stuff kids need to learn. Through this lens, we aren't concerned about what students are supposed to do with the "stuff" they are learning, what sort of cognitive activity we hope to evoke in their minds. No, this is really just about the facts, topics, ideas, and concepts they are supposed to learn. Here are some examples:
- math facts
- the Civil War
- photosynthesis
- author's voice
That's pretty straightforward, right? As stated, the above examples are just topics or ideas. Let's ratchet this up a notch, shall we? Let's look at some Common Core standards and see if we can pick out the topical/conceptual knowledge in them. I'll provide on English/Language Arts example and on Mathematics example. Here we go...
English/Language Arts
Standard RI.5.3. Explain the relationships or interactions between two or more individuals, events, ideas, or concepts in a historical, scientific, or technical text based on specific information in the text.
Got your answer? Here's what I thought. I believe the topical/conceptual knowledge in this standard can be found in this portion of the standard: "relationships or interactions between two or more individuals, events, ideas, or concepts in a historical, scientific, or technical text...". The standard calls on students to learn about relationships or interactions that are detailed or described in different kinds of texts. Do you agree or disagree?
Mathematics
Now, let's try a math standard:
Standard 3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.
Ok, same as before. What is/are the topical/conceptual knowledge of this standard? Think for a minute. Then scroll down and see what I think.
Got your answer? Here's what I thought. Here are the parts of the standard statement that I thought contained the topical/conceptual knowledge of the standard: "measurement data...halves and fourths of an inch...line plot...horizontal scale...appropriate units—whole numbers, halves, or quarters." In my opinion, this one wasn't quite as neat and clean as the ELA example. But I believe you can see several concepts described in the standard. There are a variety of types of measurement data (e.g., temperature, length, weight, etc.), each of which can be broken down into different units. Data can also be displayed in a variety of ways (e.g., line plot, bar graph, pie chart, etc.), again broken down into different units.
In each of these examples, we've isolated the topical/conceptual knowledge called for by the standard, but we haven't gotten into what students are supposed to be able to do with that topical/conceptual knowledge. That is critically important, but I will save that issue for next month :).
What does research say about topical/conceptual knowledge?
Sadly, we know little from research about topical/conceptual knowledge. Candidly, most research on opportunity to learn and alignment does not break down Dimensions into different categories. There really isn't any acknowledgement that Dimensions is a "thing." In my opinion, we can look to two general areas of research that can shed a little light on the subject. One area is descriptive, the other predictive.
Descriptive research
When it comes to descriptive research, we can look to work done to describe the degree of alignment between two curricular elements (e.g., intended, enacted, assessed, learned curricula). Norman Webb's (e.g., 1997) work on alignment does examine what I would consider to be a form of topical/conceptual knowledge. I would say his version of this concept is what he calls categorical concurrence. Basically, there is a high degree of categorical concurrence across standards and assessments if the same or consistent categories of content appear in both the assessment and the standards.
Andy Porter and his colleagues (e.g., Porter, 2002) have created a multi-dimensional alignment framework known as the Surveys of Enacted Curriculum (SEC). Part of the SEC framework includes a set of topical descriptors that relates quite closely to the concept of topical/conceptual knowledge. Examples of these topical descriptors includes "Linear equations" and "Main idea(s), key concepts."
Predictive research
Unfortunately, we know even less about the predictive nature of topical/conceptual knowledge than we do about it's descriptive potential. Put another way, just looking at topical/conceptual alignment hasn't been specifically explored much in research. Perhaps the most telling piece of research comes from Gamoran and his colleagues (1997) who found that just looking at topical/conceptual knowledge alignment didn't predict how well students would perform on assessments. Only when cognitive complexity was added to the analysis could those types of predictions be accurately made. We'll revisit the cognitive complexity issue next month.
What are the practical implications?
In my opinion, the practical implications boil down to a few simple ideas.
Final Thoughts
In my experience, most folks can wrap their heads around the idea of topical/conceptual knowledge as being a "thing." For the most part, folks are also relatively comfortable looking at topical/conceptual knowledge alignment. Perhaps you fit into this description. Where there rubber meets the road, however, is with cognitive complexity. So, that is where I shall end this blog, and it is where I will pick the next alignment foundation series blog. Until then, hit me up on Twitter, and happy aligning!
References
Gamoran, A., Porter, A. C., Smithson, J. L., & White, P. A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19, 325-338.
Niebling, B.C., Roach, A.T., Rahn-Blakeslee, A. (2008). Best practices in curriculum, instruction, and enacted curriculum. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology, 4(5), 1059-1072. Bethesda, MD: National Association of School Psychologists.
Porter, A C (2002) Measuring the content of instruction: Uses in research and practice Educational Researcher, 31, 3-14.
Webb, N.L. (1997). Criteria for alignment of expectations and assessments in mathematics and science education (Research Monograph No. 8). Madison, WI: National Institute for Science Education, University of Wisconsin-Madison.
What is/are the topical/conceptual knowledge of this standard? Think for a minute. Then scroll down and see what I think. :)
Got your answer? Here's what I thought. I believe the topical/conceptual knowledge in this standard can be found in this portion of the standard: "relationships or interactions between two or more individuals, events, ideas, or concepts in a historical, scientific, or technical text...". The standard calls on students to learn about relationships or interactions that are detailed or described in different kinds of texts. Do you agree or disagree?
Mathematics
Now, let's try a math standard:
Standard 3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.
Ok, same as before. What is/are the topical/conceptual knowledge of this standard? Think for a minute. Then scroll down and see what I think.
Got your answer? Here's what I thought. Here are the parts of the standard statement that I thought contained the topical/conceptual knowledge of the standard: "measurement data...halves and fourths of an inch...line plot...horizontal scale...appropriate units—whole numbers, halves, or quarters." In my opinion, this one wasn't quite as neat and clean as the ELA example. But I believe you can see several concepts described in the standard. There are a variety of types of measurement data (e.g., temperature, length, weight, etc.), each of which can be broken down into different units. Data can also be displayed in a variety of ways (e.g., line plot, bar graph, pie chart, etc.), again broken down into different units.
In each of these examples, we've isolated the topical/conceptual knowledge called for by the standard, but we haven't gotten into what students are supposed to be able to do with that topical/conceptual knowledge. That is critically important, but I will save that issue for next month :).
What does research say about topical/conceptual knowledge?
Sadly, we know little from research about topical/conceptual knowledge. Candidly, most research on opportunity to learn and alignment does not break down Dimensions into different categories. There really isn't any acknowledgement that Dimensions is a "thing." In my opinion, we can look to two general areas of research that can shed a little light on the subject. One area is descriptive, the other predictive.
Descriptive research
When it comes to descriptive research, we can look to work done to describe the degree of alignment between two curricular elements (e.g., intended, enacted, assessed, learned curricula). Norman Webb's (e.g., 1997) work on alignment does examine what I would consider to be a form of topical/conceptual knowledge. I would say his version of this concept is what he calls categorical concurrence. Basically, there is a high degree of categorical concurrence across standards and assessments if the same or consistent categories of content appear in both the assessment and the standards.
Andy Porter and his colleagues (e.g., Porter, 2002) have created a multi-dimensional alignment framework known as the Surveys of Enacted Curriculum (SEC). Part of the SEC framework includes a set of topical descriptors that relates quite closely to the concept of topical/conceptual knowledge. Examples of these topical descriptors includes "Linear equations" and "Main idea(s), key concepts."
Predictive research
Unfortunately, we know even less about the predictive nature of topical/conceptual knowledge than we do about it's descriptive potential. Put another way, just looking at topical/conceptual alignment hasn't been specifically explored much in research. Perhaps the most telling piece of research comes from Gamoran and his colleagues (1997) who found that just looking at topical/conceptual knowledge alignment didn't predict how well students would perform on assessments. Only when cognitive complexity was added to the analysis could those types of predictions be accurately made. We'll revisit the cognitive complexity issue next month.
What are the practical implications?
In my opinion, the practical implications boil down to a few simple ideas.
- It can be helpful to just think about topical/conceptual knowledge alignment first before getting into cognitive complexity. I can't provide you with empirical support for that opinion. It's based on my conversations and work with teachers and administrators who consistently tell me that thinking about cognitive complexity is harder.
- Most work done under the title of "alignment" really only looks at topical/conceptual knowledge, and typically at a coarse-grained level (more to come in future blogs on this concept). Which is a decent-enough place to start, but limited.
- The work gets more interesting (and challenging) when we start looking at cognitive complexity in addition to topical/conceptual knowledge.
Final Thoughts
In my experience, most folks can wrap their heads around the idea of topical/conceptual knowledge as being a "thing." For the most part, folks are also relatively comfortable looking at topical/conceptual knowledge alignment. Perhaps you fit into this description. Where there rubber meets the road, however, is with cognitive complexity. So, that is where I shall end this blog, and it is where I will pick the next alignment foundation series blog. Until then, hit me up on Twitter, and happy aligning!
Gamoran, A., Porter, A. C., Smithson, J. L., & White, P. A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19, 325-338.
Niebling, B.C., Roach, A.T., Rahn-Blakeslee, A. (2008). Best practices in curriculum, instruction, and enacted curriculum. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology, 4(5), 1059-1072. Bethesda, MD: National Association of School Psychologists.
Porter, A C (2002) Measuring the content of instruction: Uses in research and practice Educational Researcher, 31, 3-14.
Webb, N.L. (1997). Criteria for alignment of expectations and assessments in mathematics and science education (Research Monograph No. 8). Madison, WI: National Institute for Science Education, University of Wisconsin-Madison.
Tuesday, May 1, 2012
Let's Review and Recover
Greetings lovers of curriculum alignment! I hope all is going well in your worlds as the 2011-12 school year heads towards its inevitable end. I have found myself unable to add the next installment in the Alignment Foundations series this month. I will return to that in the beginning of June. In the meantime, I'd like to share links to all of the previous blog posts in the Foundations series, as well as provide an update on the curriculum alignment work I've been doing lately.
Introduction to Curriculum Alignment Foundations Series
Foundations Series: What is Curriculum Alignment?
Foundations Series: What is Curriculum?
Foundations Series: What is Intended Curriculum?
Foundations Series: What is Enacted Curriculum?
Foundations Series: What is Assessed Curriculum?
Foundations Series: What is Learned Curriculum?
Foundations Series: What is Alignment?
Foundations Series: What is Directionality?
Relatedly, I designed and facilitated a study determining the cognitive complexity of the Iowa Core in English/Language Arts and Mathematics for grades K-2 and all of the Iowa-specific additions to the Iowa Core for grades K-12. I say additions, because Iowa is a Common Core State Standards state. We didn't have to do a study for grades 3-12 because WestEd did a cognitive complexity study of the Common Core in English/Language Arts and Mathematics for the Smarter Balance Assessment Consortium (SBAC). That means we were able to use the cognitive complexity information from the SBAC study for our Iowa Work. I am hopefully we will be able to provide a project report on our study, as well as guidance on appropriate use for the cognitive complexity data beyond the ICAT.
Foundation Series Links
Below are links to each of the Curriculum Alignment Foundations Series posts. Tell your friends.Introduction to Curriculum Alignment Foundations Series
Foundations Series: What is Curriculum Alignment?
Foundations Series: What is Curriculum?
Foundations Series: What is Intended Curriculum?
Foundations Series: What is Enacted Curriculum?
Foundations Series: What is Assessed Curriculum?
Foundations Series: What is Learned Curriculum?
Foundations Series: What is Alignment?
Foundations Series: What is Directionality?
My Recent Curriculum Alignment Work
I have been working on several things lately. First and foremost, I've been working working with an amazing programmer, Lori Thelen, at Heartland Area Education Agency 11 in Johnston, IA to add cognitive complexity tools to the Iowa Curriculum Alignment Toolkit, or ICAT for short (check out Learning Station #1). For those of you unfamiliar, the ICAT is a web-based alignment tool I started building almost four years ago for educators in Iowa to use, free of charge. The ICAT allows teachers to reflect on the content of their enacted curriculum, and to then check to see the degree to which that aligns with the intended curriculum of the Iowa Core. We will be starting a field study in the coming weeks, and hopefully have it functional by the end of June, which is when my current contract with the Iowa Department of Education ends.Relatedly, I designed and facilitated a study determining the cognitive complexity of the Iowa Core in English/Language Arts and Mathematics for grades K-2 and all of the Iowa-specific additions to the Iowa Core for grades K-12. I say additions, because Iowa is a Common Core State Standards state. We didn't have to do a study for grades 3-12 because WestEd did a cognitive complexity study of the Common Core in English/Language Arts and Mathematics for the Smarter Balance Assessment Consortium (SBAC). That means we were able to use the cognitive complexity information from the SBAC study for our Iowa Work. I am hopefully we will be able to provide a project report on our study, as well as guidance on appropriate use for the cognitive complexity data beyond the ICAT.
Final Thoughts
I've been quite busy lately, and I'm loving every minute of it. I'll be back next month, better than ever, with a new blog post in the Curriculum Alignment Foundations Series: What Are Dimensions. Until then, be great!Friday, March 30, 2012
Foundations Series: What is Directionality?
(c) Brad Niebling |
I'm guessing many of you are feeling the same way, either returning from or getting ready to go on spring break. Sometimes, we just have to find a way to push on. I'm sort of feeling that way today. But I will push on!
Last month, I kicked off the next "chapter" in the Foundations Series by exploring the question "What is Alignment?" As a reminder, I defined alignment as
"the extent to and how well all policy elements work together to guide instruction and, ultimately, facilitate and enhance student learning." (Webb, 1997)
Alignment is not necessarily a "thing" unto itself, but rather a characteristic of the relationship between different aspects of curriculum. The desire to have the different aspects of curriculum coordinated or matched makes practical sense. In my experience, where the breakdown occurs is how we view alignment. Let me ask you a question: have you ever heard a phrase that sounds something like "our curriculum is aligned"? Perhaps you've even used a phrase like that yourself. It's understandable. I hope, after reading my series of blogs defining curriculum as having many different types, that you we see alignment as more than a "yes/no" sort of thing. I can tell you that beyond that, alignment gets to be a broader thing when you break it down into smaller chunks as well.
This month, I start on a journey to break alignment down into smaller, more meaningful chunks, just like I did with curriculum. By doing so, one step at a time, I hope that together we can gain a deeper appreciation for alignment and learn how to use it more effectively. Visually, a multi-dimensional view of alignment looks something like this:
As you can see, alignment is not one single "thing." Right now, I will start from the far left of the diagram and explore the question "What is Directionality?" and work my way from left to right in the coming months. Let's get into it!
What is directionality?
That's a very good question, if I do say so myself! Wait, haven't I seen that picture before? Anyway, when I use this term in my work with folks, I mostly get blank stares. That's ok, because it's not a term that gets used very often. In general, directionality is...
"the direction in which alignment is examined." (Niebling, 2008, cheap plug)
Well, ok. That's not really helpful at all by itself, and probably not worth a citation. I think we can all wrap our heads around what the concept of direction means. Come on alignment boy, you gotta bring more game than that! Fine, you want it, you got it. Horizontal alignment is the
"degree of match, typically across two curricular categories (e.g., instructional content with state or national standards) within a single level (e.g., same grade comparisons)."
Boom goes the dynamite! I've got more, too. Vertical alignment is the
I don't even have to say it, do I?
image source - http://knowyourmeme.com/memes/boom-goes-the-dynamite |
Whew! That was a lot of work, blowing up all that alignment dynamite. However, beyond me entertaining myself, we need to put some meet on that directionality bones. Let's start with horizontal alignment. When you hear or see the term "alignment," most likely it's about horizontal alignment. Every example of alignment I have discussed in previous blog posts in this Foundations series was an example of horizontal alignment. Consider this scenario:
A 5th grade teacher wants to know what the degree of alignment is between what she taught and the statewide accountability test her students took during the Spring semester.
In this scenario, the teacher is curious about the degree of horizontal alignment between her enacted and the assessed curriculum. It's horizontal because she's curious about the degree of alignment between her 5th grade enacted curriculum and the 5th grade state test. As you can see, she's focused on 5th grade only. If you look back at the definition for horizontal alignment, you'll see this scenario meets all of the criteria defined.
Now let's consider vertical alignment, which is sometimes referred to as vertical articulation in curriculum circles, or vertical scaling in assessment circles. Each of these concepts are slightly different in some ways, but the terms often get used generically. I'm not going to go too deeply into the nuances of those differences here. What I will say is that vertical alignment still calls for coordination of curricular elements to facilitate and enhance student learning. In this case, that coordination occurs within single curricular elements, not across them. Consider this scenario:
The curriculum director of a school district wants to know how well common formative assessments are coordinated with each other as students transition from elementary to middle school, and from middle to high school.
In this scenario, the curriculum director is curious about the degree of vertical alignment between assessed curriculum across grade levels. So, her focus is on one curricular area (i.e., assessed curriculum) across grade levels. Take a peak back at the definition for vertical alignment, and you should see that this scenario meets all of those criteria.
Ok, those were sort of easy. Now it's time for a tougher scenario. You decide if this scenario is about (a) horizontal alignment, (b) vertical alignment, (c) both, or (d) neither. Here we go...
Arianna Miles is the principal of North County Elementary School. There are a lot of students in her building. Each grade level has six sections. It is a school of high poverty, with 70% of students eligible for free and reduced lunch. It is highly diverse with respect to culture and ethnicity. She knows how important it is to make sure all students have equity in their opportunity to learn the intended curriculum. She wants to know the extent to which teachers' enacted curriculum is aligned with each other at each grade level.
What do you think? Here's what I think. Although you could possibly make compelling arguments for their being vertical alignment issues embedded in Ms. Miles focus, in my opinion this scenario is primarily about horizontal alignment. The tricky part is that she is curious about alignment among the enacted curriculum of multiple teachers within a grade levels. If you look closely at the definition for horizontal alignment, it indicates that this aspect of directionality is generally about examining alignment among multiple curricular elements, but not always. It is very possible to examine the degree to which what different teachers teach is the same.
What research says about directionality and practical implications
Generally speaking, the research out their on alignment isn't typically framed around directionality. That doesn't mean that directionality isn't part of the research though. For example, research studies like Cohen's and Gamoran's incorporate horizontal alignment, with the idea that as horizontal alignment increases, so to does student achievement. Vertical alignment research often comes in a very empirical package, like determining the psychometric soundness of assessment tools, or more narrative and descriptive packages, like the degree to which standards expand and require more complex thinking across grade levels. Indeed, a simple Google search for vertical articulation or alignment yield very little information, other than a few PowerPoint presentations and long documents within which vertical alignment was mentioned but not really highlighted.
What can we take from all of this? Here are the practical implications of Directionality, in no particular order:
- A high degree of horizontal alignment is generally a good thing.
- A lower degree of vertical alignment is generally the goal. After all, we don't want the exact same things taught and assessed at every grade level, right?
- Achieving these goals will take district-wide vision and a lot of collaboration.
Final thoughts
Addressing the Directionality of alignment, be it horizontal or vertical, is important to understand what the work is about and what we want to accomplish with it. When you read something about alignment, or listen to someone talking about it, make sure to inquire about the direction they are talking about.
As always, thanks for reading. Check back next month, as I dig into the question "What are Dimension?" See you then and there!
Resources Used
Cohen, S. A. (1987). Instructional alignment: Searching for a magic bullet. Educational Researcher, 16, 16-20.
Gamoran, A., Porter, A.C., Smithson, J.L., & White, P.A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19, 325-338.
Kolen, M.J. (2004). Linking assessments: Concept and history. Applied Psychological Measurement, 28, 219-226.
Niebling, B.C., Roach, A.T., & Rahn-Blakeslee, A. (2008). Best practices in curriculum, instruction, and assessment alignment. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology, (4)5, 1059-1072. Bethesda, MD: National Association of School Psychologists.
Tuesday, February 28, 2012
Foundations Series: What is Alignment?
Image Source - http://leisuredive.com |
Last month, I wrapped up the first part of the Foundations Series on curriculum alignment by examining the question "What is Learned Curriculum?" Briefly, I examined what it is students actually learn in the context of the intended, enacted, and assessed curricula, after having both posed and examined the questions "What is Curriculum Alignment?" and "What is Curriculum?" Visually, I have represented curriculum as a learning-centered triangle"
I am starting with the next "chapter" in the Foundations Series this month where I examine various aspects of alignment. I am starting with a broad question "What is Alignment?" In the coming months, I'll be dissecting alignment into smaller parts, just like I did with curriculum. Before I get into alignment though, I just want to take a small bird walk and share what I'm up to right now...
Image Source - http://www.ets.org/praxis/nasp |
Image Source - http://nasponline.org |
I've been both honored and blessed to work with educators in many different disciplines over the years, and I feel like I've learned a great deal from many of those educators. In that spirit, this conference is a reminder to me of two big things that I think directly apply to curriculum alignment. First, curriculum alignment isn't just the responsibility of the classroom teacher, or the "curriculum adoption" committee. It takes entire systems to ensure tight alignment; administrators, psychologists, occupational therapists, and the students themselves, just to name a few. Second, I am reminded that there are so many other pieces in the schooling formula that impact student learning; social-emotional well-being, connectedness, reliability and validity of assessment processes and tools, and the evidence-base for instructional materials/practices, again just to name a few. So while I believe curriculum alignment is central to the success of any school system, let's not forget how many things need to be going well for a student to have a positive school experience. With all of that said, let's dig into some curriculum alignment, shall we?
Although defining curriculum was a complex process, much of what curriculum is can be framed as something tangible. Assessment materials, content standards, instructional materials, lesson plans, test results. That's not to say that there aren't more intangible aspects to curriculum, like conversations and thoughts that certainly make up part of the enacted curriculum. But there are definitely concrete curricular elements that we can put our eyes and hands on. Alignment, on the other hand, isn't really a tangible thing. Instead, it's the nature of the relationship among curricular elements. Here's an official type of definition:
Curriculum alignment is "the extent to and how well how all policy elements work together to guide instruction and, ultimately, facilitate and enhance student learning." (Webb, 1997).
This is the sort of definition that is usually more useful for researchers than practitioners. But it absolutely applies to practitioners, day in and day out. Think of "policy elements" as the intended, enacted, and assessed curricula. The "working together" part is really getting at how similar are those elements to each other. For example, if a teacher provides instruction on vowel teams (enacted curriculum), an assessment experience (assessed curriculum) that is "aligned" with that would also include vowel teams. That would be the two elements working together. If the assessed curriculum was composed of vowel-consonant teams instead of just vowel teams, that would be an example of the curricular elements not working together.
While I hope that example provides a simple picture of what alignment is, it by no means does it justice. In reality, alignment is a multi-dimensional thing. Just like the big idea of "curriculum" is composed of smaller components (i.e., intended, enacted, assessed, and learned), so to is alignment. Below is a visual of the multi-dimensional nature of alignment:
We will be digging into each an every aspect of the diagram above in the coming months. I will make the argument that unless each of these elements is considered, any alignment work will be short of getting the "bang for the buck" that alignment can bring. That's it for now. Check back next month! In the meantime, hit me up on Twitter.
References
Webb, N.L. (1997). Criteria for alignment of expectations and assessments in mathematics and science education (Research Monograph No. 8). Madison, WI: National Institute for Science Education, University of Wisconsin-Madison.
Monday, January 30, 2012
Foundations Series: "What is Learned Curriculum?"
Image source - http://ryangoslingdisneylandcats.tumblr.com |
Let's take a step back and set the stage for this discussion. As I have indicated in the previous Foundation Series posts, the framework I use to discuss curriculum alignment is based on the work of Andy Porter. Here is a visual depiction of that framework:
Porter, in his article on curriculum assessment (i.e., collecting and using data on different aspects of curriculum, including alignment), does not actually define the learned curriculum or dig into it. I think, however, we can come up with a pretty decent idea about what the learned curriculum is. In this framework, I define the learned curriculum, sometimes referred to as the achieved curriculum, as:
the knowledge and skills acquired by students during the schooling process.
(c) Brad Niebling, Midwest Instructional Leadership Council |
The Intended and Learned Curriculum
Briefly, the intended curriculum is what students are supposed to learn. In this framework, the learned curriculum can take the form of content standards, curriculum frameworks, curriculum maps, textbooks and related materials, to name a few. In well-functioning systems, the intended curriculum as actually written down, and staff have professional conversations to develop a common understanding of what contents of the intended curriculum mean.
(c) Brad Niebling, Midwest Instructional Leadership Council |
I believe that organizing student learning according to the intended curriculum can greatly enhance our understanding of student strengths and weaknesses. There are likely several methods and tools out there to do this. For example, I believe standards-based assessment and reporting has a lot of promise to assist us with linking the intended and learned curricula. Iowa is starting to explore competency-based education as a system as well. I think having a structure such as these can greatly enhance teachers' ability to organize student learning around the intended curriculum.
The Enacted and Learned Curriculum
The enacted curriculum is what students get the chance to learn, as well as how that "what" is delivered. Recall, when it comes to curriculum alignment, we are only talking about the "what" of enacted curriculum. Also note, the enacted curriculum isn't necessarily just what teachers say and do. Students own engagement, reflection, research, and other activities can constitute part of the enacted curriculum if it's related to the schooling process.
(c) Brad Niebling, Midwest Instructional Leadership Council |
However, if we want to be able to link enacted curriculum, at least the part delivered, structured, or otherwise observed by the teacher, to the learned curriculum, we need data on both, and the extent to which they are aligned. This can be particularly useful in those cases that there are intended-learned alignment data available, and you are trying to troubleshoot why students are struggling to learn particular aspects of the intended curriculum.
The Assessed and Learned Curriculum
The assessed curriculum is a system of processes and tools that are used to determine the extent to which students are acquiring or have acquired knowledge and skills (Niebling, et al., 2008). Ideally, the assessed curriculum is tightly aligned with the intended and enacted curricula. In my experience, I've seen a lot of assumptions around the assessed curriculum, mainly that it is aligned to anything.
(c) Brad Niebling, Midwest Instructional Leadership Council |
Without tight alignment of the assessed curriculum to either the intended or enacted curricula, we have no way of determining if a student's learning has anything to do with the schooling process (i.e., the learned curriculum). The assessed curriculum, in many ways, is really the bridge between intended/enacted and the learned curricula.
Practical Implications
I believe that there are at least three major, practical implications to the information I just shared. Here they are, in no particular order:
- School is about learning: School is about many things, not just academic achievement. That debate is for another blog post. If we can agree that student achievement/learning is central to the purpose of school, then I assume that we want to know if the things they are learning are related to anything we are supposed to teach or what they get an opportunity to learn. If so, then it makes sense to think about learning in a curricular context.
- It's really a pyramid, not a triangle: In a well-functioning system, the intended, enacted, and assessed curricula are all tightly aligned. The purpose of this tight alignment is not really and end unto itself, but rather a means to an end, mainly that students learn.
- Troubleshoot when needed: If student learning is not where it needs to be, especially when viewed as a system, how do we know why that is the case? Having alignment data among the intended, enacted, and assessed curricula can provide information on, for example, a lack of sufficient opportunity to learn that coincides with specific areas in which groups of students are struggling.
Final Thoughts on Curriculum...For Now
Over the last 6 months, I have laid out my ideas about how to define/describe the concept of curriculum. Hopefully it's been at least somewhat practical. Here are a few summary points I'd like to make before moving on to the next part of the Foundation Series, again in no particular order:
- Curriculum IS NOT just textbooks!
- Curriculum is not a single "thing." No matter how you frame it, it's important to look at it from several angles because in practice, it's complicated.
- Curriculum is what students are supposed to learn, what they get the opportunity to learn, what gets assessed, and what is actually learned.
- Ultimately, it's all about the learned curriculum. The other three areas need to be coordinated to facilitate and enhance student learning.
Image source - http://www.shirttrader.com/shirt/i-love-lamp.html |
Next, I'll be turning my attention to the next part of the curriculum alignment world, namely alignment. I love alignment! Make sure to tune in next month, when I start with the question "What is Alignment?" In the following months, I will be taking on the alignment topics of Directionality, Dimensions, and Level of Analysis before I pull it all back together.
Not sure what those things are or why you should care about them? Then check back in next month! And keep checking back to this blog, and follow me on Twitter. Soon I will be posting a blog on the curriculum alignment implications of Iowa Governor Branstad's education legislative recommendations, and I might even chime in on the hot topic of 3rd grade retention. Sparks are flying! Thanks for taking the time to read my blog, and definitely post your thoughts or reflections in the comment section below. Tell your friends!
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