In the early 1990s, after a long series of disappointing results on national and international mathematics achievement tests the National Science Foundation (NSF) funded the development of thirteen complete mathematics programs at the elementary school, middle school, and secondary school levels. Many teachers were quite happy with the new…

Many current policy initiatives focus on teacher qualifications and high-stakes assessments for students as a means to improve mathematics education in the United States, but this approach ignores the actual practice of teaching through which students have opportunities to learn mathematics. The present study is an effort to answer scholars'…

An 18-week experimental intervention tested the effect of the WAC strategy known as microthemes on math achievement of secondary students. The sample population included 231 students, with 106 in the experimental group and 125 in the control group, enrolled in six different math courses from basic to advanced, ninth to twelfth grade. Students in…

There have been many calls for greater research into the connection between what is taught to pre-service teachers and how those teachings emerge in teacher practice (Cochran-Smith & Zeichner, 2005; Grossman, 2008). Understanding this connection and strengthening it is vital to the increased effectiveness of not just teacher education programs…

The purpose of this study was to compare the performance of first year college students with similar high school mathematics backgrounds in two introductory level college mathematics courses, "Fundamentals and Techniques of College Algebra and Quantitative Reasoning and Mathematical Skills," and to compare the performance of students…

The value of a consideration of large numbers and exponentiation in primary and early secondary school should not be underrated. In Indian history of mathematics, consistent naming of, and working with large numbers, including powers of ten, appears to have provided the impetus for the development of a place value system. While today's students do…

This paper posits that teachers' pedagogical content knowledge in mathematical modelling instruction can be demonstrated in the crafting of action plans and expected teaching and learning moves via their lesson images (Schoenfeld, 1998). It can also be developed when teachers shape appropriate teaching moves in response to students' learning…

The research reported here was motivated by curiosity about ways of suggesting tasks and activities to teachers that assist them in their planning and which allow them to see the purpose of the suggested tasks. A group of junior secondary teachers involved in a larger project worked through a set of tasks that sought to address the content they…

This paper discusses the results of a pilot study that explored how prospective secondary school teachers are shaped by learning experiences during their undergraduate mathematics education. The collaborative study, which was conducted by a mathematician and a mathematics educator, drew from the experiences of prospective teachers in a…

The aim of the study was to investigate the teaching of fractions by Ordinary level mathematics teachers at Radcliff high school in Zimbabwe. The main objective of the study was to establish how teachers teach the concept of fraction and to find out why they teach in the manner they do. A case study research design was used and purposive sampling…

Background: High school and college students demonstrate a verbal, or textual, advantage whereby beginning algebra problems in story format are easier to solve than matched equations (Koedinger & Nathan, 2004). Adding diagrams to the stories may further facilitate solution (Hembree, 1992; Koedinger & Terao, 2002). However, diagrams may not…

In this article we contribute a perspective on mathematical embodied cognition consistent with a phenomenological understanding of perception and body motion. It is based on the analysis of 4 selected episodes in 1 session of an undergraduate mathematics class. The theme of this particular class session was the geometric interpretation of the…

Three calculator tests were administered to a national sample of 1,469 Irish students in Grade 9--the last cohort to study mathematics without calculators (Phase 1). Three years later, the same tests were administered to a similar sample with calculators (Phase 2). Scores on a test of calculator-inappropriate items showed no significant change…

This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…

In 2011, a new curriculum and set of school organisational structures were introduced in Sweden. One consequence is a much stronger separation of the theoretical and vocational programmes in the upper secondary school. The paper explores the nature of the changes that have occurred particularly in relation to mathematics studies, the background…