This dissertation study investigated secondary mathematics teachers' designing and enacting lessons to draw on students' multiple mathematical knowledge bases. The ultimate objective of incorporating open spaces in mathematics lessons is to support students from culturally and linguistically diverse backgrounds in developing mathematical…

This guidance report focuses on improving the quality of teaching of mathematics to pupils in Key Stages 2 and 3. The decision to focus on these Key Stages was made after an initial consultation period with teachers, academics, and other stakeholders. Schools are seeking advice on adjusting to a new curriculum, and there is also concern about…

Decades of scholarly work continue to document the marginalization of children from nondominant backgrounds in mathematics classrooms. Learning to equitably teach children from linguistically, ethnically, racially, and culturally diverse backgrounds remains a priority. This dissertation approaches this broader problem in society by understanding…

Current educational policies in the United States attempt to boost student achievement and promote equality by intensifying the curriculum and exposing students to more advanced coursework. This paper investigates the relationship between one such effort -- California's push to enroll all 8th grade students in Algebra -- and the distribution of…

Background/Context: Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course…

For improved student outcomes, teachers must integrate their knowledge about the curriculum, about how to teach it effectively and how to assess whether students have learnt it. Therefore, key tasks for initial teacher education are building curriculum knowledge, learning contextually appropriate ways to teach and how to use assessment for…

This study was inspired by a history of student difficulties in calculus, and innovation in response to those difficulties. The goals of the study were fourfold. First, to design a mathlet for students to explore local linearity. Second, to redesign the curriculum of first semester calculus around the use of technology, an emphasis on…

Varied academic ability is a problem across the country and is the focus of this action research project report. The four teacher researchers were searching for way to reach all learners with their mathematics instruction. The purpose of the research was to increase mathematical performance in a varied ability math classroom. To address varied…

Describes activities of the Educational Technology Center at Harvard University, which focus on the use of computers and other technology to improve K-12 instruction in science, mathematics, and computing. Topics discussed include curriculum development; students' prior conceptions; the construction of scientific knowledge; the use of software;…