The aim of the exploratory method research centered on the presence of mathematical tools in STEM through three main questions: Is mathematics an essential tool in the field of STEM? Can mathematics complete projects solely with mathematical and digital tools? Does understanding mathematical modeling affect STEM teaching? A better understanding of…

Current conceptualizations of knowing and learning tend to separate the knower from others, the world they know, and themselves. In this article, we offer "relationality" as an alternative to such conceptualizations of mathematical knowing. We begin with the perspective of Maturana and Varela to articulate some of its problems and our alternative.…

Which potato chip is healthiest: (1) regular; (2) baked; or (3) sour cream and onion? This problem requires critical and numerical skills in order to read and compare nutrition labels. The question has applications in mathematics and science classrooms but also in teachers' lounges and school cafeterias. It is a problem that addresses the five…

A central goal of secondary mathematics is for students to learn to use powerful algebraic strategies appropriately. Research has demonstrated student difficulties in the transition to using such strategies. We examined strategies used by several thousand 8th-, 9th-, and 10th-grade students in five different school systems over three consecutive…

Introduces conceptual physics, which does not have the computational roadblock typical to most physics courses and appeals to both science and non-science students. First published in 1990. (YDS)

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include place value, number lines, basic facts and computation, computation and calculator practice, puzzles for tricky thinkers, and geometry. Ten classroom games and activities are found in the place value and number line sections, 27…

Presents two problems posed to kindergarten children to challenge and to encourage discourse among the students working in small groups of 8 to 10 children. Results showed various levels of understanding and demonstrated various approaches which serve to give the teacher insight into the level of understanding of the class and the possible need to…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include computation and calculator practice, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, time tricks, calendar quips, crazy computing, and riddles. Twenty-nine games, tricks, and activities are found in…

Outlines a plan of action designed to enhance growth in problem-posing skills. The "blueprint" provides a model for teachers and teacher educators who wish to integrate more problem posing into their curriculum. Specific activities and instructional strategies are cited to illustrate the development of problem posing as a process in the classroom.…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories of activities include computation, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, and riddles. The computation section contains 13 classroom games and activities along with 4 manipulative challenges.…

Describes a summer program for prefreshman science students entering Xavier University, designed to develop their problem-solving and academic abilities by emphasizing the connection between reading comprehension and analytical skills. (MKM)

Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)

A study assessed third- through sixth-grade children's comprehension of selected problem-solving segments from SQUARE ONE TV. A sample of 140 children, equally distributed among the four grades, with 49% girls and 51% boys, and an ethnic composition of 56% White, 22% Black, 19% Hispanic, and 3% other, and 3% other, were randomly assigned to…

Examines the definition of basic mathematics skills in a discussion of meeting the needs of mathematics students in a changing society. One basic skill is understanding formulas that are used in real life. Challenges teachers to teach students to reason mathematically, improve communication, and build mathematical connections with real-life…

Using the children's book "Tops and Bottoms" by Janet Stevens--an adaptation of the classic fable of the Tortoise and the Hare--students are given opportunities to build connections between a problem-solving situation and mathematics and to communicate solutions through writing, symbols, and diagrams. A key concept is to demonstrate to students…