Previous research has shown knowledge, perceptions, and attitudes are essential factors during mathematics classroom instruction. The current study examined the effects of a 3-week fraction instructional unit using concrete models, problem-solving, and problem-posing to improve elementary preservice teachers' knowledge, perceptions and attitudes…

Children build up knowledge about the world and also remember individual episodes. How individual episodes during which children learn new things become integrated with one another to form general knowledge is only beginning to be explored. Integration between separate episodes is called on in educational contexts and in everyday life as a major…

In recent years, researches had shown that the development of problem solving skill became important for education, and the educational robots are capable for promoting students not only understand the physical and mathematical concepts, but also have active and constructive learning. Meanwhile, the importance of situation in education is rising,…

Minds-on engagement in active learning is explored through the experiences of Margaret Sanders, a general music teacher. Minds-on learners think about their experiences. They are actively involved as questioners and problem solvers while they complete musical tasks and reflect on their work after it is completed. Minds-off learners focus on their…

In one Colorado fifth grade classroom, math period begins with Mathematician's Chair, an activity allowing students to share their problems with entire class. Using this technique, students became adept at writing math problems, solving their own and peers' problems, using math-related writing as important medium of social discourse, and making…

Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

A game similar to Nim is described. Students in grades three through six have played the game in conjunction with the study of modular arithmetic,and have been able to develop winning strategies. (SD)

This article considers three ways to incorporate active learning in the exploration of mathematics: organizing centers, open-ended tasks, and the solving of good problems. (MP)

Providing students with realistic problems will facilitate a better understanding of and reason for computation. Specific suggestions for introducing and for increasing problem-solving skills are described. (CJ)

Suggests math activities for elementary students that are designed to strengthen problem-solving, computation, and calculator skills by revolving around the real-life situation of a picnic. The article suggests designing a class project to plan and carry out a class picnic, stressing the use of mathematics and calculators. (SM)

Recounts a teacher's experiences with a small group of elementary school students as they explore different forms of the combinatorics problem of choosing two out of five objects. Describes how students examine the connections between the problems and a proof of the relationship. (MDH)

A set of geometric pieces is used to solve problems involving geometry, combinations, division, and money. (JT)

Children use creative thinking processes when teachers assign ambiguous rather than specific problems. Suggestions for developing questions that encourage experiential and metaphorical thinking are offered. (DF)

Providing teacher background on the concepts of wages and profits, paying particular attention to how elementary children experience and learn these concepts, this document presents 3 teaching units. The grade K-2 unit, "A Job Well Done," provides activities which focus on different types of jobs and the intrinsic and extrinsic rewards…

The nature of measurement, the standard measurement concepts are discussed in terms of children's preconceptions and activities for building measurement concepts through primary school instruction. A broad range of activities including counting, computation, calibration, and relating measure to size is presented. The metric system is briefly…