This article examines the benefits and teaching procedures resulting from a classroom activity in student problem posing. The benefits included an enhancement of student reasoning and reflection and a heightened level of engagement. "Principles and Standards for School Mathematics" indicates that one of the critical requirements for successful…

Musicians practice to build endurance, flexibility, and dexterity. They practice to maintain good performance, to sight-read better, to memorize, and simply, to enjoy music making. There are other motivations for practice, but one, more than others, is a catalyst for consequential change in musical development--practicing to solve performance…

The National Science Education Standards (NSES; National Research Council [NRC], 1996) include Science and Technology as one of the eight categories of content standards. The science and technology standards establish connections between the natural and designed worlds and provide students with opportunities to develop decision-making abilities.…

This study investigated the differential effects of two problem-solving instructional approaches--schema-based instruction (SBI) and general strategy instruction (GSI)--on the mathematical word problem-solving performance of 22 middle school students who had learning disabilities or were at risk for mathematics failure. Results indicated that the…

The students need not compute dependent values required in making line graphs but to teach the students the usage of graphing calculator to plot, calculating and graph linear equations, which are best suited to real world data. In this initial learning process, the teacher should give minimum support to the students in arriving at a solution as…

Students should be encouraged to focus on a big mathematical idea and to look for connections between problems and solution strategies. This unified view suggests that the students are developing computational fluency with fractions.

We show that there is a link between a standard calculus problem of finding the best view of a painting and special tangent lines to the graphs of exponential functions. Surprisingly, the exponential function with the "best view" is not the one with the base "e." A similar link is established for families of functions obtained by composing…

From the start of the year, the author's goal is to teach his students to be metacognitive thinkers. This means that they will think about what they are doing during each step of the inquiry process. The author uses a variety of methods to enculturate students into using the thinking processes and developing the dispositions necessary for them to…

This article illustrates the fact that unless tempered by algebraic reasoning, a graphing calculator can lead one to erroneous conclusions. It also demonstrates that some problems can be solved by combining technology with algebra.

Social technology is proliferating and influencing different aspects of society. However, very few studies have examined the use of such a technology for a case-based learning pedagogy. This preliminary study investigates the use of social technology as a case-based learning tool to improve the effectiveness of case-based learning in the…

NIER (National Institute of Educational Research, 2004) survey revealed that the most common attitude of Japanese high school students to mathematics is that "it is not useful in daily life but must be learnt for entrance examinations". It was also clarified that only 3.2 percent of mathematics teachers use computers in their classes.…

The present study investigated the effects of deductive and inductive teaching approaches to the acquisition of pragmatic competence on learners of English as a foreign language. In this study, 60 adult native speakers of Japanese with intermediate-level proficiency in English were each randomly assigned to 1 of 4 groups, which consisted of 3…

Abstraction is a major concept in computer science and serves as a powerful tool in software development. Pattern-oriented instruction (POI) is a pedagogical approach that incorporates patterns in an introductory computer science course in order to structure the learning of algorithmic problem solving. This paper examines abstraction processes in…

This study analyzed the processes used by students when engaged in modeling activities and examined how students' abilities to solve modeling problems changed over time. Two student populations, one experimental and one control group, participated in the study. To examine students' modeling processes, the experimental group participated in an…

The present study examines the effect of three different structured methods, traditional, independent and problem-solving, of teaching children arithmetic in the beginning of 7th grade in Sweden, age 13 years. The progress made by these students is presented by measures of their arithmetic ability, calculation and quantitative concept, as well as…