In this paper, 28 mathematics majors who completed a transition-to-proof course were given 10 mathematical arguments. For each argument, they were asked to judge how convincing they found the argument and whether they thought the argument constituted a mathematical proof. The key findings from this data were (a) most participants did not find the…

The number of candidates seeking and completing online courses and programs in teacher education continues to increase in order to meet the licensing flexibility demands of adults pursuing teacher certification. Using the theoretical constructs of learner-centered instruction and zones of proximal development, this paper provides an overview of…

"Plan, Save, Succeed!" is a new program aligned with Jumpstart Coalition National Standards in K-12 Personal Finance Education, National Council of Teachers of Mathematics (NCTM) Standards, and Common Core Standards for Mathematical Practice. "Plan, Save, Succeed!" is designed to help students understand key financial literacy topics including…

"IXL Learning" contracted with Empirical Education to study the effectiveness of "IXL Math" in Beaverton School District. During the 2011-2012 year, "IXL Math," an interactive, cloud-based practice environment, was used to supplement instruction in two elementary/middle schools. This study focused on 4th and 5th grade…

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

In the art form of "kolam," dots called "pulli" are arranged in rhombic, square, triangular, or free shapes, and a single, uninterrupted linear or curvilinear line, called the "kambi," intertwines the dots (Yanagisawa & Nagata, 2007). While there are no written or verbally stated rules, Yanagisawa and Nagata have…

Several activities in which population dynamics can be modelled by tossing M&M's[R] candy are presented. Physical activities involving M&M's[R] can be modelled by difference equations and several population phenomena, including death and immigration, are studied. (Contains 1 note.)

The maturation of multiplicative thinking is key to student progress in middle school as rational number, ratio, and proportion concepts are encountered. But many students arrive from the intermediate grades and falter in developing this essential disposition. Elementary students have historically learned multiplication and division as operation…

The article reports and discusses a long-term qualitative study of forty 8-10-year-old students who regularly played a math game during math lessons for 9 weeks. The goal was to explore the relations between (i) some of the "pedagogical principles" that underlie the game and (ii) the "playing practice" in terms of what actually takes place when…

The crucial need for a mathematically literate society, coupled with a sustained focus on mathematics standards, continues its center-stage presence. At the same time, "Principles and Standards" states that it is imperative to offer "all students high-quality programs that include significant mathematics presented in a manner that respects both…

The use of instructional technology in secondary mathematics education has proliferated in the last decade, and students' mathematical thinking and reasoning has received more attention during this time as well. However, few studies have investigated the role of instructional technology in supporting students' mathematical thinking. In…

The curriculum for Turkish primary mathematics education was revised in 2005. The idea behind these reforms was to move from a subject-centred model to a student-centred model. The aim of this study was to investigate changes in teachers' mathematical beliefs following a professional development (PD) course based on the use of Geogebra. This…

Learning the concept of perimeter and area is not easy for students in grade 3 of primary school. A common mistake is that students think that if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a given area, there are many possibilities of perimeter and vice versa. When student are not…

This study was conducted in a middle school math class and investigated the effects of project-based activities on the middle school math students' skill acquisition and intrinsic motivation. After math-related project activities were implemented and completed, an analysis of how the students were affected in the areas of math skills and…

This paper describes the use of diagrams as self-explanatory tools. It considers the use of diagrams, in general, and more specifically, examines research that is currently being undertaken in the broad field of visualisation. The research participants referred to in this article were Advanced Certificate of Education students and the paper…