By Marilyn Burns
For a few years, Marilyn Burns has produced a e-newsletter for academics. each one e-newsletter comprises classroom-tested actions from lecturers around the nation. This compilation offers the newsletters' top problem-solving classes for grades 1-6. the teachings span the strands of the maths curriculum and are illustrated with kid's paintings.
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Extra resources for 50 problem-solving lessons: The best from 10 years of math solutions newsletters
David Ott taught the lesson to second graders in Albany, California. David followed this lesson with Dividing Cakes (see page 55), which asks students to divide rectangles into different numbers of equal shares. A similar lesson, Cutting the Cake (see page 97), has students divide rectangles into fourths and compare the resulting shapes. ) David drew a circle on the board and asked the children how he might divide it in half. After listening to several responses, David drew a diameter of the circle to divide the circle into two equal parts.
The total was 86. Finally, Carolyn drew circles around groups of 10 Xs on the second class chart. There were eight 10s and eight extras—88 in all. Revisiting the Lesson A few days later, Carolyn returned to the data the children had collected. Although the cubes had been returned to their container, the children recalled that there had been 70 cubes in the train. She asked several children to describe what the information on the charts represented. Carolyn again asked whether the children thought the totals should be the same or different.
After giving the students a minute or two to talk, Bonnie asked for volunteers. “They all have four corners,” offered Scott. “They all have four sides,” Jennifer said. “They all have space in the middle of them,” added Jodi. ” Bonnie asked. Aaron had an opinion. “Jamie’s isn’t a real shape like those two—the rectangle and the diamond,” he said. Bonnie continued the discussion, inviting other sets of students to show their shapes to the class. 35 GRADE STRAND 1 NUMBER 2 GEOMETRY 3 MEASUREMENT 4 STATISTICS 5 PROBABILITY 6 PATTERNS AND FUNCTIONS ALGEBRA LOGIC Hands and Beans Materials The story “Jack and the Beanstalk” can – The story “Jack and the Beanstalk” (any version) – Dried beans – Scissors – One sheet of chart paper be a springboard to a class investigation that involves children in estimating, measuring area, and collecting and representing data.
50 problem-solving lessons: The best from 10 years of math solutions newsletters by Marilyn Burns