Considering its relationships with real life and mathematics, mathematical modeling is one of the most effective ways of learning and teaching mathematics. In this study, the effect of teaching with mathematical modeling on students' mathematics achievement was examined using the meta-analysis method. An effect size of 51 was achieved with 45…

This book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and…

The authors' goal is twofold. First, they wished to produce a theoretically-based approach to this synthesis. Child-centered programs have a long history. However, concerns about children's achievement, and the pressure of content-specific standards, have set up a perceived conflict, in which educators believe they are being asked to abandon…

This brief is directed to researchers and adds to the research base about instructional practices that are related to student achievement. Additional evidence on these relationships can suggest specific hypotheses for the future study of such instructional practices, which, in turn, will provide research evidence that could inform professional…

American students continue to struggle on measures of student achievement. This study employed Hierarchical Linear Modeling to estimate a two-level model and examine the influences of calculator use and teachers' instructional practices on student achievement in mathematics amongst first-grade students. The outcome variable was mathematics test…

In this Appendix, we provide details about the data used for the current study, the curricula used in the classrooms from which data were collected, and the current study's methodological approach. (Contains 14 tables and 5 footnotes.)[For full report, see ED544189.]

Investigated was the influence of socioeconomic status, entry style, and instructional variables on postsecondary mathematics performance of students in New Guinea. The pattern of results indicated that the performance of students could be more meaningfully grouped based on entry style rather than on mode of instruction. (Author/CW)

Approximately half of a group of 12-year-old students were taught fraction and ratio topics by a concrete process-oriented method. The others were taught in the regular way. The concrete, process-oriented approach resulted in significantly improved achievement in, and attitude toward, fractions and ratios. (Author/DC)

Compared was the mathematical performance of secondary school students for whom a graphic calculator was a standard mathematical tool, with that of students of similar background without regular access to graphing technology. Increased achievement on symbolization tasks, especially for females, was shown for students who used the graphing…

The Virginia International Mathematics Assessment Project was undertaken in response to the need for high quality baseline data on student achievement and on curriculum and instructional issues. The assessment model chosen for this project used the design and instruments of the Second International Mathematics Study (SIMS). The study included 104…

This article examines the effects of a secondary school mathematics curriculum. This curriculum has been developed by the Dutch National Institute for Curriculum Development (SLO). There are differences in how this curriculum is implemented in the classroom. There are striking differences in the learning results at pupil, class and school levels.…

Investigated effects of teaching an explicit approach to problem solving on the mathematical chemistry achievement of preparatory college students (with a control group being taught dimensional analysis as its problem-solving strategy). No difference in cumulative achievement between the groups was found. Interpretations of the results obtained…

The use of curriculum based assessment (CBA) to ensure learning disabled and low achieving students adequate educational opportunity remains the focus in this direct and comprehensive third edition. The additions to this edition are in the way of providing detail and explanation in the context of current and emerging issues in educational…

This paper describes the implications of constructivism both for what to teach and for how to teach. The first part discusses three approaches on what to teach: (1) relating mathematical knowledge to other knowledge; (2) checking for self-consistency; and (3) putting thinking before facts. The second part is on how to teach based on…

The purpose of this study was to look intensively at two aspects of mathematics instruction--development and practice. It contrasted the Direct Instruction approach to the development phase of teaching problem solving with a Traditional approach taken from the teachers' manual of four widely used basal textbooks. Seventy-three fourth graders…