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New answers tagged secondary-education

5 votes

Questions to test highest level of competency

As asked, it is a bit too general to answer with anything but other generic words. So let's play with some simple particular topic like finding maxima of functions on intervals. The lowest level: find ...
• 2,384
1 vote

SMSG: Did any school districts actual teach the curriculum as planned and what were the results for the teachers and students?

I had it in my Lansing, Michigan 5th grade class in 1961. I recall that approximately 30% of us were 'selected' somehow. Loved it.
4 votes

Questions to test highest level of competency

What you might be looking for is cognitively demanding questions. Students/Pupils have typically comparatively easy time with algorithmic exercises (including the kinds of exercises, calculations or ...
• 5,442
2 votes

Questions to test highest level of competency

I think you're better off concentrating on performance of actual problems versus memorizing definitions or theorems, when teaching math for general STEM. It is much more lasting to anchor something ...
3 votes

Multiple proofs for the same problem

It just crossed my mind that I can offer you some option you haven't probably considered yourself. Once I experimented in my calculus course (which also involved some elements of analytic geometry and ...
• 2,384
1 vote

Multiple proofs for the same problem

At the college level, see here, here, here, here, and here. Only the first link is suitable for high school courses.
• 2,888
0 votes

Student asked me if it is necessary to simplify fractions at the end of answering a question. I'm not sure how to respond

If the student knows how to simplify and is, on purpose, not simplifying in order to save time to give themselves more time for the rest of the test, then this is an OK reason not to simplify, so long ...
0 votes

Student asked me if it is necessary to simplify fractions at the end of answering a question. I'm not sure how to respond

I would say you might expect a meaningful answer. In your case, there might be multiple meaningful answers: $\frac{4}{5}$ : this is the answer in the most simplified form. $\frac{40}{50}$ : this ...
• 1,252
2 votes

Geometrical approaches in algebra

Here's a well-known one: $$\sum_{n=1}^{\infty} \frac{1}{2^n} = 1$$
• 1,252
0 votes

• 2,384
1 vote

Difference between the Cambridge IGCSE 0580 and 0607 mathematics courses

This answer assumes that both 0607 and 0580 are being considered at the extended level 0607 is definitely a more challenging curriculum, primarily this is because it expects students to be extremely ...
• 247

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