This paper reports a study conducted to formally evaluate a social problem-solving skills game during the start of the development to ensure that the desired game attributes were successfully embodied in the final game. Two methods, heuristic evaluation and participatory design, were adopted to assess whether the features of the game pose…

A problem-solving capstone course for mathematics and mathematics education majors can help majors synthesize material learned in the major, create a basis for lifelong learning in the discipline, develop confidence, and promote interest in graduate study. Such a course may also play a role in departmental assessment of the major. This article…

The goal of this" Statement on Competencies in Mathematics Expected of Entering College Students" is to provide a clear and coherent message about the mathematics that students need to know and to be able to do to be successful in college. While parts of this Statement were written with certain audiences in mind, the document as a whole…

This dissertation looks at the nature of creativity and what it takes to create a creative environment between the home environment and the elementary classrooms. Children make meaning best through play, creativity and problem-solving; this theory is built on Vygotsky's zone of proximal development (1978) alongside schema theory and Sternberg…

The purpose of this qualitative study was to gather data on the scaffolding a facilitator developed and used for learners during a Problem-Based Learning (PBL) setting. The study explored how the learners developed their ability to share their understanding and current knowledge by solving the presented real-world problem through investigation…

This study sought to integrate Dweck and Leggett's (1988) self-theories of intelligence model (i.e., the view that intelligence is either fixed and unalterable or changeable through hard work and effort) with Elliot and Dweck's (1988) achievement goal theory, which explains why some people are oriented towards learning and others toward…

The purposes of this study are to (1) understand how elementary school students use writing to reflect their learning and problem solving in mathematics; and (2) to explore how teachers adapt their instructional approaches based upon reflection on students' writing. This qualitative exploratory study spanned six weeks and included 18…

This research study was specifically concerned with the development, testing, and revision to an instructional theory for studying the mathematical concepts of equivalence and equation solving with multiple representations and multiple tools. Following a design research approach, a collaborative teaching experiment was conducted with a ninth-grade…

This article argues for a shift in how researchers discuss and examine students' uses of representations during their calculus problem solving. An extension of Zazkis, Dubinsky, and Dautermann's (1996) Visualization/Analysis-framework to include physical modes of reasoning is proposed. An example that details how transitions between visual,…

Although students' invented strategies typically prove to be effective in the improvement of students' mathematical understanding, little is known about how preservice teachers interpret and respond to student-invented strategies on whole number multiplication. This study investigated the nature of 25 preservice teachers' interpretations of and…

The use of high-stakes assessment to measure students' mathematical performance has become commonplace in schools all over the world. Such assessment instruments provide national or international comparisons of student (and potentially teacher performance). Each form of assessment is specialised in nature and is characteristic of the culture and…

The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers' knowledge. It is aimed at exploring the development of teachers' mathematical and pedagogical conceptions…

The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…

"Case Studies for Inclusive Schools, Third Edition" is a major revision that provides a stimulating format for understanding a variety of inclusion issues in the schools. The content focuses on problem solving from a collaborative perspective. Teacher education students and teaching professionals can use this excellent text to explore…

The purpose of this paper is to explore the effectiveness of Action Design Research (ADR), a combination of Action Research and Design Science Research, as a methodology to examine how the implementation of e-learning will affect the learning outcomes for staff training in an organisational context. The research involves an intervention in the…