This book identifies the educational problems and issues that could be solved by design and discusses how to overcome these challenges by adopting a design thinking approach. The chapters cover topics such as opportunities and challenges for the futures of education, the emerging models of design thinking for education, learning activity design,…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Conventional experimental research in mental imagery and visualization presents conflicting findings. Naturalistic inquiry offers an alternative approach for the study of mental imagery and problem solving. Paulo Freire, for example, used a naturalistic approach that emphasized active involvement in learning. Imagery can play an important role in…

This research studied the effects of computer-presented organizational/memory aids on problem solving behavior. The aids were either matrix or verbal charts shown on the display screen next to the problem. The 104 college student subjects were randomly assigned to one of the four conditions: type of chart (matrix or verbal chart) and use of charts…

Examines reasons why some elementary and secondary students learn programming in BASIC and LOGO much better than others suggesting this happens because students bring different learning patterns to the programming context. Pitfalls novices face in learning programming are discussed, and instructional design suggestions to foster better learning…

Two aspects of instructional practice in mathematics are discussed: the process of developing instructional activities and the importance of engaging students in mathematical discussion. The National Council of Teachers of Mathematics (NCTM) Standards are evaluated based on this discussion. (CW)

This paper describes insights on how to promote mathematical reasoning in problem solving based on the mathematical experiences of participants in a long-term study in which the students engaged in strands of well-defined, open-ended mathematical investigations, as a context for research on the development of particular concepts and ways of…

The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)

This study explored student mathematical activity in open problem-solving situations, derived from the work of Polya on problem solving and Skemp on intelligent learning and teaching. Assignment projects with problems for ninth-grade students were developed, whether they elicit the desired cognitive and cogno-affective goals was investigated, and…

Described are three mathematics games that parents can play with their children. These games involve parents in helping children to learn and practice mathematics in the home. Teaching, learning, and practice games are included. (KR)

This practicum was designed to incorporate critical thinking skills instruction and practice into a fourth-grade curriculum to increase fourth-grade students' ability to recognize and apply critical thinking strategies to appropriate situations. This program concentrated on the increasing of six critical thinking skills: classification, sequence…

Describes an exploratory investigation of how children reacted to problems with missing, surplus or contradictory data. It was found that the majority of children gave unsatisfactory answers to such problems. (PK)

Described is a nonmajor mathematics course taught using computers and lab experiments. Included are the challenge, solution, description of the first class, problems, successes, the syllabus, student comments, and the conclusion. (KR)

Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

Uses the various strategies involved in baseball to illustrate basic concepts in game theory. Specifically discusses Willie Mays' base-stealing strategy and how it relates to probability and risk. Reminds students that expected results depend on adopted assumptions. (MJP)