Students experience a variety of challenges as they move from one level in school to the next. In this session, we consider and discuss two central questions related to students' progressions through their mathematical experience, particularly at transitions roughly characterized as elementary to middle school, middle school to high school, and…

"Knowing and doing measurement" is a fundamental competency in real life since measuring attributes of objects in appropriate units and using measuring tools assist students to quantify and understand the world. For this reason, the study of measurement has a special place in every mathematics curriculum. Among the domains of…

The article deals with the way in which authority was established and interpreted by teachers and students in two Flemish sixth-grade mathematics classrooms. Problem-solving lessons during a seven-month observation period were analysed regarding three aspects of teacher-student interactions that explicitly or implicitly reflect who bears…

Values-engagement in evaluation involves both describing stakeholder values and prescribing certain values. Describing stakeholder values is common practice in responsive evaluation traditions. Prescribing or advocating particular values is only "explicitly" part of democratic, culturally responsive, critical, and other openly…

In this work, we explored the relationship of the Common Core State Standards in Mathematics (CCSSM) to student achievement. Building on techniques developed for the Third International Mathematics and Science Study (TIMSS), we found a very high degree of similarity between CCSSM and the standards of the highest-achieving nations on the 1995…

The media's response to the release of "Math Instruction that Makes Sense" (2011), a research report by the Frontier Centre for Public Policy (FCPP), helped spark a public controversy and spur the Saskatchewan government to reexamine the Ministry of Education's math curriculum. The purpose of this article is to examine the CBC's…

Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…

This paper reports on the findings of the evaluation of Learning Units (LU), a special type of Learning Object designed to help overcome the difficulties associated with learning Calculus concepts at undergraduate level. An Interactive Platform for Learning Calculus (PIAC) that serves as a container for the LU was created following a specific…

In this paper we analyze the mathematical treatment of numerically and geometrically defined patterns in a variety of middle school curricula. We provide several examples that illustrate a need for rethinking how the study of patterns and generalizations are presented in middle grade mathematics curricula and discuss some natural implications to…

"Research studies show that when students discover mathematical ideas and invent mathematical procedures, they have a stronger conceptual understanding of connections between mathematical ideas." Flewelling and Higginson state that inquiry, investigations, and problem solving "give students the opportunity to use their imagination…

As a fundamental resource, textbooks shape the way we teach and learn mathematics. Based on examination of secondary school and university textbooks, we describe to what extent, and how, the presentation of mathematics material--in our case study, the concept of the line tangent to the graph of a function--could contribute to creation and…

We examined the effect of curriculum organization in US high schools where students could freely choose to study mathematics from textbooks that employed one of two types of content organization, an "integrated" approach or a (traditional) "subject-specific" approach. The study involved 2,242 high school students, enrolled in…

This study investigated the relationship among critical motivational variables and mathematics achievement as middle grades students engaged in a reform-oriented curriculum, "Mathematics in Context." We tested 327 students in fifth, sixth, and seventh grade before and after two years of implementation. We performed a path analysis with…

The purpose of the current study was to determine the relationship, if any, regarding school districts' teachers' average years of service, number of years of implementation of the CSCOPE math curriculum, and student achievement on the STAAR (State of Texas Assessments of Academic Readiness) mathematics scores in Grades 5 and 8. The STAAR is the…

The inclusion of statistics and probability in the mathematics curriculum has always generated challenges to mathematics teachers of elementary schools. This article discusses activities that promote the professional development of such teachers. We present part of a doctoral research study of 16 teachers in which we discuss two case studies of…