Category: Shanghai Math Education
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Explore: use subtraction to get the area
Given that P is a point in parallelogram ABCD, line GF passes through point P and is parallel to AB, line EH passes through point P and is parallel to AD. If the area of BFPE =3，the area of PHDG = 5, find the area of ▵APC. Area of a triangle? Formula: Area=1/2 base∙heightIt is quite hard to get the length of the three bases. It is even more…
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Explore: sides and interior angles of a polygon
Question: Suppose a convex polygon has exactly 4 obtuse interior angles. What is the maximum number of the sides of such a polygon? Hints behind the information Convex polygon？A polygon with all its interior angles less than 180° exactly 4 obtuse interior angles: 90°<obtuse angle<180° (Hint: the other interior anlges ≤ 90°) maximum number of the sides? What’s the relationship between sides and interior angles? Let’s use regular…
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Build a Math Brain Through Deliberate Training
My son could say numbers from 1 to 10 in both Chinese and English at age 3. However, numbers to him were nearly the same as Peppa Pig to him, which were merely words with distinct pronunciation. He couldn’t count the number of toy cars he owned due to a lack of sense on numbers…
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Shanghai Middle School Math Proficiency Test
To figure out why Chinese students top in PISA and other math competitions, let us turn to ‘Zhongkao’, which appears to be completely different from PISA but reveals how the math abilities required in PISA are obtained through math education. PISA’s targeted students are those 15-year-olds and meanwhile enrolled at grade 7 or higher. In…