Contemporary constructivist views of mathematical learning have encouraged curriculum developers to devise instructional materials that help students build their own understanding and procedures for doing rational number computations, solving proportions, and applying those skills to real and whimsical problems. The Connected Mathematics Project…

This study examined the effect of a teacher enhancement project combining training on the National Science Education Standards, problem solving and equity education on middle school science teachers' attitudes and practices and, in turn, the attitudes of their students. Participating teachers reported changes in their instructional methods that…

"Harvard Education Letter" is published bimonthly at the Harvard Graduate School of Education. This issue of "Harvard Education Letter" contains the following articles: (1) Telling Tales Out of Charter School: What Educators and Policymakers Can Learn from the Successes and Failures of Charters (Robert Rothman); (2) One Charter School's Formula…

Describes three perspectives from which middle school teachers can plan laboratory activities for the purpose of improving students' scientific literacy. Perspectives are the learning cycle approach categorizing activities by stages of development; problem-solving skills approach categorizing activities according to the amount of teacher control;…

Considers four language arts--speaking, listening, reading, and writing--as activities that enhance the development of mathematical concepts. Suggests ways language arts can be used in learning difficult concepts as missing addends, algorithms, number facts, and problem solving. (39 references) (MDH)

Presents a program to introduce fifth graders to everyday economic life by constructing a true-to-life simulation of an economic community. Students apply mathematics skills to managing a checking account, calculating electric bills, and managing shops using computers. (MDH)

Describes a teaching experiment that evaluated published supplemental materials used to aid preparation of lessons at the fourth grade level involving nonroutine word problems. Lists 12 insights gained that can be useful to teachers using commercially produced problem-solving materials. (MDH)

Compared the problem-solving and computational skills of first-grade students whose teachers had participated in staff development to learn to teach using a Cognitively Guided Instruction framework to first-grade students whose teachers had not. Students in experimental classes performed significantly better in solving word problems and completing…

Describes the Global Thinking Project, a collaborative effort between Georgia State University and the Russian Academy of Pedagogical Sciences to develop strategies, methods, and teaching materials to help students think globally. Students are connected through the AppleLink network. Student and teacher attitudes toward the project are reported.…

This paper describes the evaluation of three curriculum models to teach technology. The three modules present technology as a design process involving problem identification and analysis; generation and evaluation of alternative solutions; planning and construction of models; and trialing, modification and evaluation. Participating pupil's…

Shows fragility of knowledge in connection with a false application of mathematical induction, as observed in a problem-solving course for prospective teachers. The attempt to explain the observations is based upon an analysis of the logic underlying proof by mathematical induction and a concept formation theory. (MKR)

Claims made for the value of problem-based learning (PBL) as an effective method for professional education programmes draw on constructivist principles of teaching and learning to achieve essential content knowledge, higher order thinking skills, and a team approach to problem-solving through the interdisciplinary, student-directed study of…

This research is a case study examining numeracy teaching and learning practices in an early childhood multiage setting with Pre-Primary to Year 2 children. Data were collected via running records, researcher reflection notes, and video and audio recordings. Video and audio transcripts were analysed using a mathematical discourse and social…

International comparative studies revealed that US students' mathematics performance is not at the level of expectation of mathematics education community. The latest of such study is, Third international Mathematics Science Study-Repeat (TIMSS-R, 1999) continued show poor performance of US students in international arena. Total of 38 countries…

Students' brains are wired to make them natural, curious learners. The mathematical world around them offers a vast classroom, filled with shapes, spaces, quantities, and experiences to discover and explore, all leading to the construction of understanding. Teachers can use this natural curiosity to tap the inborn neural mechanisms that motivate…