Coach Ginsburg has two recent posts about this, and they're both quick worthwhile reads. I whole-heartedly agree that differentiation needs to be practical and sustainable. Making three different activities for multiple days a week is neither. Choice and optional levels of support might be feasible.

Our student teachers have been thinking about this and I thought I'd just share what they wrote. This is in response to reading an article of their choice. The bibliography is at the end. As you will be able to tell, there are some pretty sharp prospects in this bunch!

Cartoon from Cornered. Photo from herzogbr@flickr.

**Differentiation Ideas - Fall 2010**

**Class Discussion**:

*Question*: The idea is good - individual attention and opportunities. But what about the gifted? How do you grade students that are working on different levels of work? If one makes a video and one a test? How do you grade fairly?

*Discussion*: Mastery learning. Compare with the objectives. With extensions ready, the students can work on ungraded material. They want to be busy. Extra credit even, if it's necessary.

*Question*: I like choice: but how do I explain the objective for each project? How do I set it up?

*Discussion*: that’s what I see rubrics doing. They convey how to evaluate your work; clearly, concisely... this is what it looks like.

*Question*: How could we implement this in our classroom? Everything is as a whole, everything is at once and it’s just too fast for some students. Makes me not to want to do the clicker, but they want that, too. They’ve mostly been doing clickers and notes.

*Discussion*: Are there ways to provide different levels of support for during the clicker questions? Hints? Though that can annoy people who’ve already clicked in. Without individual work, it’s hard to differentiate. Work on the questions first? Don’t enable clickers until after work time. Our cooperating teacher (CT) wants this quick.

**Individual thoughts**

*Bre Betz*- I have already seen this differentiation a lot in my classroom. We have a complete class of lower level students who this greatly effects. We also have a few “gifted students” in our room. For these students, I think that giving them some kind of extra credit or an extension into higher level math on certain problems is a really good idea. If they are not challenged very much they will eventually loose interest. On the other hand, one of our “gifted students” actually takes this idea into his own hands. Once in a while he will try and go further with a question in the book, usually he doesn’t quite make the correct assumptions, but at least he is trying and thinking outside the box.

*Autumn Langlois*- I love the idea of differentiating in the classroom. I also love the idea of giving the students choices as much as possible. My goal is to have two homework assignments per class. This would include the normal one that i would have handed out to every student and the other for the gifted. Those that just want a challenge can also chose the harder one. But the catch is once you pick up the harder one you can not go back and get the easier one. I love the idea of pulling students out to look at the material more deeply but in the school that I am in now, I do not see that as a possibility. The gifted article also hit the nail on the head when they started to talk about how schools are putting a lot of emphasis on the lower level students when the upper level students deserve just as much of a challenge as they are getting. Scary but true. The article really opened my eyes and I will be more aware of what I am saying to those that always have their hand up in the air.

*Stephanie Bares*- I was always unsure on how to help the gifted students with out giving them extra problems of the same thing. These students need a challenge and I was afraid if you gave them too much that they would ask why don’t other kids have to do this but it seems that they actually look for a challenge. the students also do not want to be pointed out as the real smart student they want the challenge to be there for anyone one so they are not that one special person. I like the differentiated task that Mrs.Baker in the article “The Gifted student” did. I liked it because students that were not gifted still could work through it and the gifted students still felt there was a challenge and also were able to share with others there ideas which in turn may of help others. I would hope I could make activities that would be able to include everyone like that one.

*Jacob Dunklee*- One way that I like differentiation in the classroom is to assign the same homework assignment to all students, but have extra, more challenging problems for the gifted students to work on after they are done; and for these problems give them extra credit and maybe a little treat if they complete so many of them. I also would offer more support to the struggling students by getting together in small groups to work on the homework together. I would try to at least pair them up with one of the students that in the gifted category or are able to understand the topics and explain them to others. This would allow for everyone to get something out of the instruction without killing myself by making up three different assignments for every lesson. As a teacher we can only take on so much extra work on top of everything else. But if we put in the time in the first few years of teaching it would be easier because we would have most of the assignments saved because of technology in this day and age so the extra work load would decrease eventually. But there will always be different levels that we would have to prepare for.

*Kady Dingman*- Planning lessons that excite and engage all students in the classroom at all levels can be challenging for a teacher. One way that my CT tries to engage gifted students in her classroom is that she sometimes has an extension activity for the students who fly through the lesson that she puts questions from the extension on the tests as extra credit problems, so that those students have some incentive try the extension activities. I think this is a great incentive for these students to try the extension. Another way I might use differentiation in the classroom is to give the students some choice in the assignments they complete, so that it’s not necessarily more work, just more challenging tasks that the students would’ve chosen to complete themselves.

*Matt Compher*- I specifically read about differentiation for English Language Learners. One thing that can be done in the classroom to support differentiation is to allow students to work with one another on a given task. Pairing ELL’s and non-ELL’s would benefit the ELL’s by giving them a second source of instruction, and the non-ELL’s would be given an opportunity to practice speaking and explaining mathematical concepts.

Less of a specific differentiated lesson, but another way to differentiate to ELL’s is to speak more slowly/clearly than one would otherwise. From there, assignments, tasks, or activities can be designed specifically to practice speaking and explaining new concepts in approprate mathematical language. This would benefit all students, but would also help the ELL’s by exposing them to more mathematically charged English. An idea that I got from the text would be to cover and explain important concepts before defining new terms/words.

We have English Language Learners in our classroom this semester, so any other ideas would be greatly appreciated, party people!

*Emily Holth*- I really like the idea of differentiation in the classroom. I have learned a lot from my CT since he is teaching by the GLCE’s. [Michigan's middle school content expectations] So, if some students are having trouble with a particular GLCE, then during group work, those students can have instruction focused on that GLCE. Also, for those students who are not having any trouble with the content, my CT provides them with challenging activities. Sometimes it will be an extra credit worksheet that asks them to apply what they have learned and extend it to answer a question. Other activities that are available to these students include the question of the week. Each week my CT posts a question that is optional for all students, and those who get the correct answer receive extra credit. These questions are also challenging and require further thought than what was necessary for the lesson. I think by separating students by what they understand and what they are struggling with, we can really focus with them on that particular area. Some students may not need the reteaching for a particular topic, so they should be able to work on something else that will give them more of a challenge, rather than simply focusing on the students who are at a lower level. I think this is a great way to accommodate for all students.

*Tess Wells*- I really like the idea of regrouping students according to their struggles, at least for part of a class period. At my placement, a formative assessment (sort of a mini quiz) is given at the end of every investigation. I think it would be a good idea to look them over and group them into different categories of certain struggles if they seem apparent and then come up with an activity to help that certain struggle that students can work on the next day in class in those groups. I know time is always a huge issue so maybe that could take the place of a warm up or something some days at the beginning of class.

I also was reminded from reading the article, Dynamic Concrete Instruction, that even when teaching all of our students the same thing at the same time we can differeniate our lesson by remembering to include different learning styles. I think that idea is so basic, yet not so easy, and an idea that I have learned for so long it has been put on the back burner or maybe kind of second nature by now and does not get that much attention. However it is still a very important part of differentiation in the classroom.

*Gerald Smolka*- There are so many challenges that we as young teachers must face. While I have already been contemplating how to keep extra attention focused on the student’s who are struggling, I hadn’t given much thought on those students who are excelling with the material. Fortunately, I have been seeing differentiation modelled for the ‘gifted’ students in my FST class. Mrs. Robbert always makes sure to have some kind of supplemental activity reading for students who finish an assignment or project before the rest of the class. The big question with the extra activity is how to grade it. But I don’t feel its necessary to always grade materials that are given to students. I believe that students want to be challenged and enjoy activities. As a matter of fact, removing the grade from an activity might serve to motivate them to explore it without the possibility of failure. My ED 310 prof, Mr. Stockton, is using this approach with a couple books that he would like us to read. They are on the required textbook list, but he isn’t testing us on any of the material and isn’t giving us a schedule to have things read. He has left it up to us as to whether we will read it or not. Well, now since I don’t have to read it I want to read it at a pace that is comfortable to me.

*Katelyn Marckini*- I read the article about differentiating Instruction for the English Language Learners. This could be particularly useful in the school that I am working in now We have a few students who I can tell speak Spanish at home. Therefore, they have broken English in the classroom at times. I think that I could help these students by giving directions slowly, repeating directions, allowing ELL students to work with non-ELL students (have all students pair up), etc. Usually when I am working one-on-one with students I will have them read the question that they are asking about out loud. This way they get a chance to verbalize math and I can make sure that they are capable of doing so. I may try to start having students pair up to work on things in the classroom and see how it goes.

*Ashley Eastman*- we see a lot of differentiation in our classroom because we have many students at different levels. we have one class full of students with learning disabilities so we change our lessons for them even though they are in the same course as the other three blocks our teacher teaches. then in our normal class we have a couple of gifted students who go above and beyond what we expect. these students will usually look at the problems in a different way then most kids to challenge themselves, especially one of our students. they usually start their homework in class so they aren’t ever just sitting there they are always doing something.

**Bibliography**:

- “The Gifted Student”. Kathryn Chval and Jane Davis,
*Mathematics Teaching in the Middle School*, December 2008/January 2009, pp 267-274. - “Differentiating Instruction in Mathematics for the English Language Learner”. Deandrea Murrey,
*Mathematics Teaching in the Middle School*, October 2008, pp 146-153. - “Dynamic Concrete Instruction in an Inclusive Classroom”. Bradley Witzel and David Allsopp,
*Mathematics Teaching in the Middle School*, November 2007, pp 244-248. - “Building Responsibility for Learning in Students with Special Needs”, Karen Karp and Philip Howell,
*Teaching Children Mathematics*, October 2004, pp 118-126.

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