This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…

Learning interaction patterns is key to the explanation of learning outcomes. Different studies have reported the relationship between classroom process variables and learning outcomes in a traditional classroom setting. However, the advent of robotics and its attendant student-robot interaction moderated by students' mathematical ability is yet…

This research attempts to reveal the views of the primary school teachers, having Syrian students in their class, on these students' Turkish and mathematics skills and the challenges they have confronted in the classroom. The research used a mixed research method and 347 primary school teachers who met the criterion of having Syrian students in…

Background: Math is a difficult subject with which many upper middle-school students struggle. In addition to knowledge, skills, and motivation, effective learning strategies play an important role in learning math. Aims: This study aimed to examine the effects of comprehension-oriented learning strategies (perceptual and abstract grouping of…

Learning, development, and response to instruction often involve changes in the strategies that learners use to solve problems. In this chapter, our focus is on mathematical problem solving in both children and adults. We offer a selective review of research on three classes of factors that may influence processes of strategy change in…

Framing mathematics ability as innate or intimately connected to someone's intelligence is common. Have you ever heard a parent or colleague say something akin to, "Jonathan can really write, but I don't know what happened in math!"? Unfortunately, this framing not only narrowly describes how mathematics learning occurs but also raises…

The phenomenon of wheel spinning refers to students attempting to solve problems on a particular skill, but becoming stuck due to an inability to learn the skill. Past research has found that students who do not master a skill quickly tend not to master it at all. One question is why do students wheel spin? A plausible hypothesis is that students…

Transitional kindergarten--the first year of a two-year kindergarten program for California children born between September 2 and December 2--is intended to better prepare young five-year-olds for kindergarten and ensure a strong start to their educational career. The goal of this study was to measure the success of the program by determining the…

Transitional kindergarten--the first year of a two-year kindergarten program for California children born between September 2 and December 2--is intended to better prepare young five-year-olds for Kindergarten and ensure a strong start to their educational career. The goal of this study was to measure the success of the program by determining the…

The studies in this volume explore a number of issues in education today. One paper reveals what actually motivates teachers to develop their career, another, how to teach primary teachers to talk about visual art. Children's artworks were explored in one article to see how they relate to their adjustment to school. In another, a case study was…

The purpose of this study is to analyze the relationship between student behaviors and the growth of mathematical ideas (using the Pirie-Kieren model). This analysis was accomplished through a series of case studies, involving middle school students of varying ability levels, who were investigating a combinatorics problem in after-school…

Research indicates that there is a reciprocal relationship between challenging behavior and poor academic performance and that this relationship will have a lifelong negative impact on individuals caught in this detrimental cycle. New interventions continue to be reported in the literature describing more effective ways to implement academic…

Grade 7 student subjects, in a study of solving certain types of word problems found in elementary school mathematics materials, did not reread problems carefully, used only one of eight problem-solving heuristics, and did not check their answers, but were willing to persevere in the problem-solving process. (SB)

This paper deals with a teaching approach aimed to help students become aware of targeted techniques of significance in problem solving. The teaching approach is to present a series of tasks that all can be solved by applying the same technique. Two levels of prompting are used; first for the students to realize solutions without necessarily being…

Reports results obtained when 24 14-year-old students were presented with algebra tasks by a computer-based modeling system and, four months later, comparable paper and pencil tests together with detailed interviews. Comparison of the results revealed profound misunderstandings of algebraic notation and identified classes of strategies used by…