Category Archives: assessments

Standardization Kills Real Learning

Students aren’t lab rats!

I have not written about my math class much yet because I have been frustrated. My goal was to useu the textbook as little as possible and to use authentic learning sources. The reality is that my scope, sequence, standards, and assessments are all mapped out for me with little wiggle room.

My first unit was on factors, multiples, and prime factorization. The more I think about these topics I find them to be quite abstract and separated from the “real world.” The best real world example I could come up with was matching up hot dogs, ten in a package, with buns, 8 in a package, for multiples (Thanks to Becky Goerend for that tip on Twitter) to which another teacher responded, “I just let the extra buns rot in the frig.”

This kind of example and others like it in the textbook just feel like the contrived story problems that drive students nuts. No one actually takes the time to figure out the right number of hot dogs and buns because nobody wants to buy 40 of them unless they are having a pretty big party!

I could have used multiples today when we bought candy for my son to bring as birthday treats for his class to make sure each student got the same amount. Instead we bought enough for each kid to have one package and we will eat the leftovers 🙂 This is where math becomes too abstract and irrelevant to students because the questions that are asked in the book would never be worried about in the real world.

Although I do not have to use the textbook, each of our ten unit assessments (read tests) are already created for me by the district. I am required to use these tests. So on top of preparing (read teach to the test) students to take the MEAP next week (Michigan’s assessment for NCLB) I feel that I have to teach to the test for every unit. I can not make an alternative assessment such as creating a mathcast or some other portfolio type project.

The push in this country to standardize everything in education to guarantee that each student receive an identical education is a fallacy and just plain ridiculous. It is time for the pendulum to swing back to professional teaching that is creative and individualized. We need to trust teachers to teach the right content at the right time for each student instead of trying to teach everybody as if they are in the same place at the same time. We need to start treating students as humans who are naturally curious, intelligent, and motivated by authentic learning experiences instead of as lab rats.

I am tired of hearing about how we are behind all of these other nations based on some test. The United States is still the creative center of the world. Last time I check the elite of the world still come to our universities. This will eventually change if we continue down this overkill of standards and cookie cutter assessments that kill curiosity and creativity in our kids.

Questions? Interested in SEL and PBL workshops or consulting?  Connect with me at  michaelkaechele.com or @mikekaechele.

Math History and Pre-tests

On Friday I had my students write their “math history” and then take a pre-test on factors and multiples. I know this is probably not revolutionary to many of you, but it was new for me and I am very happy with the results.

First I had my students tell me their “math history.” I got the idea from Glenn Kenyon’s blog. I just had them write one paragraph of how they did in math class in elementary school and how they feel about math as a subject. They were very honest about their past performance and grades. Many really like math and say that they are good at it. A few others have struggled and not surprisingly do not like math very much. None of them sounded like they have given up though, and were hopeful that they could be successful this year.

The pre-test was simply 7 questions covering the basic topics of our unit: prime and composite numbers, factors, multiples, LCM, GCF, and prime factorization. We did not review anything ahead of time so it was cold turkey. I could now compare my students self-assessment of their math abilities with their knowledge on our first unit. Most of their abilities matched what they said about themselves.

I also found out the overall strengths and weaknesses of the class. They did best on primes, composites, and factors. Some did not know multiples and only one student got the correct LCM of 4 and 5 being 20.

Based on their self-assessment and pre-test I know now where to spend my focus in this unit. Furthermore I have a good starting point of their math abilities whereas beforehand I had no clue of their level. I am now able to divide them into pairs for this week by their abilities.

I highly recommend both of these strategies to start a new class or new unit.