Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…

Since problem solving became one of the foci of mathematics education, numerous studies have been performed to improve its teaching, develop students' higher-level skills, and evaluate its learning. While these studies usually study specific aspects of problem solving, further research is needed to understand how to address problem solving from a…

Discover a bold new vision for high school mathematics that empowers students through engaging, real-world learning. For decades, mathematics education has been guided by the visionary efforts of educators and leaders who recognized the importance of making math relevant, engaging, and accessible to all students. From the foundational principles…

Teachers hold complex goals when making decisions about their curriculum. In particular, the proliferation of supplemental resources means teachers negotiate both how to use the adopted curriculum and how to supplement it with additional resources. Through a study of the language teachers use, the decision-making of three elementary classrooms is…

This study reports on the design and implementation of an equity-focused, project-based algebra curriculum in two advanced eighth-grade classrooms. We document with substantial detail a promising approach to capturing how students demonstrate and build robust mathematical understandings in ways that strongly connect to equity issues. We illuminate…

How can research findings from cognitive and learning sciences be meaningfully applied in authentic settings to improve student learning outcomes in mathematics? Decades of basic research on how people learn has implications for the design of curriculum, instruction, and assessment. However, bringing research to practice involves simultaneously…

Curriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they…

The algebra-based introductory statistics course is the most popular undergraduate course in statistics. While there is a general consensus for the content of the curriculum, the recent Guidelines for Assessment and Instruction in Statistics Education (GAISE) have challenged the pedagogy of this course. Additionally, some arguments have been made…

This article considers participation in post-compulsory mathematics education (Advanced or A-level) which is currently exercising education policy-makers in England and elsewhere. I argue that the central problem is neither that of devising an economically motivated strategy for increasing student numbers nor simply raising the level of…

The study reported in this volume adds to the growing body of evaluation studies that focus on the use of NSF-funded Standards-based high school mathematics curricula. Most previous evaluations have studied the impact of field-test versions of a curriculum. Since these innovative curricula were so new at the time of many of these studies, students…

Given the vital importance of using a scientific approach for curriculum development, the authors employed a design experiment methodology (Brown, 1992; Shavelson et al., 2003) to develop and evaluate, FUSION, a first grade mathematics intervention intended for students with or at-risk for mathematics disabilities. FUSION, funded through IES…

Discusses the need for more mathematics curriculum revision, especially at the elementary level, and for the development of tests to test the material being taught. (GB)

Uses data from study of "goodness of fit" between preschool mathematical curriculum policy and the content framework in Scottish guidelines. Outlines a tool and process for eliciting use of the mathematical frameworks managers in planning curriculum, giving examples of frameworks produced by the tool. Also outlines a model of four key…

Discusses the use of the curriculum package "Econ and Me" in teaching primary school children about economics. Explains that the program incorporates mathematics instruction and promotes language arts skills. Describes research indicating that primary school children's economics knowledge can improve through the use of "Econ and…

Discusses the relevance of teaching algebra to all students. Issues examined include the desperate need for reform in the algebra curriculum, developing a curriculum for a broad range of people, and rethinking how mathematics courses are structured and taught. Concludes that teaching algebra to students previously unsuccessful in mathematics will…