Although abstraction is widely understood to be one of the primary components of computational thinking, the roots of abstraction may be traced back to different fields. Hence, the meaning of abstraction in the context of computational thinking is often confounded, as researchers interpret abstraction through diverse lenses. To disentangle these…

In this article, the author shares the Menu Writing project, designed to promote a meaningful, real-world connection to mathematics with the lives of students. The rationale for developing this project was two-fold: (1) to connect school mathematics to students' lived experiences to encourage and sustain students' interest, motivation, and…

Computational thinking has been popularized in the last decade, particularly with the emphasis on coding education in K-12 schools. The core idea of computational thinking has a close relationship with technology and engineering education (TEE). TEE has emphasized the use of computing skills to solve problems, and integrative STEM education…

Working with language-independent logic structures can help students develop both inductive and deductive reasoning skills. The Japanese publisher Nikoli (with resources available both in print and online) produces a treasure trove of language-independent logic puzzles. The Nikoli print resources are mostly in Japanese, creating the extra…

A game is a set of activities involving one or more players. It has goals, constraints, payoffs, and consequences. A game is rule-guided and artificial in some respects. (Richard Wilson, 2010). According to Garris et al. (2002), define educational game play as "voluntary, nonproductive, and separate from the real world"; and they found…

This paper provides a brief overview of some of the current thought on teaching problem-solving and decision-making skills and presents selected exercises that have been used successfully in a graduate course in problem-solving and decision-making strategies. In addition to learning theories that are presented in order to help learners understand…

Discusses prerequisites that help students develop multiple strategies for solving problems as recommended in the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards." Presents two examples of activities involving addition, subtraction, and permutations that promote multiple strategies. Suggests ways to…

One of the major goals of the social studies is to help students gain and refine skills in the area of value clarification. Value sheets, carefully planned activities designed to elicit value clarifying patterns of language from students, are one way of securing value clarification. Sheets, planned in conjunction with ongoing units of instruction,…

Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)

Evaluation results are reported for the Southwest Educational Development Laboratory's Thinking and Reasoning Program, designed to develop analytic thinking and problem-solving skills in young children in multicultural classroom settings. Results are based on a pilot test of the program conducted during the 1974-75 school year. Mastery activities,…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

Presents a series of four worksheets to develop students' perception of spatial relationships. The tasks require students to use cubes to build models and describe the models by representing the front, right, and top views on grid paper. Provides reproducible worksheets. (MDH)

One of three related documents produced in response to a need for direct instruction in thinking skills at the secondary level, this program for high school students bases its approach on involvement of students in direct experiences. Designed to build on the thinking skills that the student already possesses and, ideally, on the experience gained…

Presents a discussion illustrating student reasoning while using LOGO to draw tilted squares and rectangles. Suggests that teachers recognize that many students use visual imagery to reason and discuss visual reasoning with students. Gives examples of tasks to promote discussion. (MDH)

The researcher conducted a six-month ethnographic study as an apprentice carpenter in Cape Town, South Africa, to document the valid mathematical ideas that are embedded in the everyday woodworking activities of a group of carpenters. A secondary objective was to examine and to give a firsthand account of the teaching and learning of mathematical…