Positive algebra
A collection of productive exercises, by Martin Kindt
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Exercises in algebra mostly have a reproductive character. After one or more examples the students have to make series of algebraic calculations: expanding, factorizing, etc. This way of exercising can only be effective if it is practiced with frequency during a long time. This can be a problem if time is limited.
Martin Kindt (Freudenthal Institute) developed a series of examples of so called productive exercises, and he writes: "These are exercise not meant for training automatisms, but for challenging the students to think and to reason."

Have fun with positive algebra (Download)

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