This study investigates sixth-grade Turkish students' pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the…

In this article, we describe a collaboratively developed information literacy curriculum that was embedded into three core 8th grade subjects: Algebra, American History, and English Language Arts. The curriculum was rooted in the concept of generalist literacy and supported students as they developed their curiosity, skepticism, commitment to…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

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…

The aim of this paper is to analyse the reasoning and symbolisations used by sixth grade Moroccan students in solving a task based on figurative patterns. Our analysis aims at identifying the systems of actions elaborated by the students to give the general expression of the sequence, according to their perceptions of the sequence of its patterns.…

Although lesson study has been shown to improve the teaching and learning of mathematics, little research has focused on reasons for engaging in it from a teacher's perspective, particularly after sustained engagement with lesson study. This qualitative study reports on thirty-three teachers from the United States who were involved in twelve…

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…

This research examines secondary mathematics teachers' use of textbook curriculum materials within "typical" cycles of planning and teaching in a school year. The curriculum use of four teachers from the western US was examined before and after engagement in a form of professional development focused on more purposeful and flexible…

In this paper, the authors investigate the consequences of curricular intensification by examining changes in the social organization of schooling and student achievement in one California school district. The authors' analyses consider the following three research questions: (1) What effect did 8th grade curricular intensification have on…

This study is a literature review to investigate the effects of implementing technology into a high school mathematics classroom. Mathematics has a hierarchical structure in learning and it is essential that students get a firm understanding of mathematics early in education. Some students that miss beginning concepts may continue to struggle with…

In this paper we consider important factors influencing different curricular approaches to the study of numerically and geometrically defined pattern-type problems in the middle school curriculum. Our analysis involves the consideration of recommendations from national standards documents and their influences on state framework documents…

This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…

The Algebra Project DR K-12, funded by the National Science Foundation as a Research and Development Project, addressed the challenge of offering significant STEM content for students to ensure public literacy and workforce readiness. The project's primary purpose was to test the feasibility and effectiveness of a model for establishing four-year…

This dissertation involved a series of training sessions where parents from a Title I middle school participated in the learning and practice of Algebra Readiness skills. The project was based on a series of six weekly trainings for parents to learn home-based activities to increase their child's Algebra Readiness. I administered an initial…