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Amy B. Ellis; Anne Waswa; Michael Hamilton; Kevin C. Moore; Aytug Çelik – Journal for Research in Mathematics Education, 2024

Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…

Descriptors: Generalization, Teaching Methods, Mathematics Instruction, Instructional Effectiveness

Patrick K. Kirkland; Ying Cheng; Nicole M. McNeil – Journal for Research in Mathematics Education, 2024

This Brief Report presents an example of assessment validation using an argument-based approach. The instrument we developed is a Brief Assessment of Students' Mature Number Sense, which measures a central goal in mathematics education. We chose to develop this assessment to provide an efficient way to measure the effect of instructional practices…

Descriptors: Test Construction, Test Validity, Mathematics Education, Measures (Individuals)

R. Taylor McNeill; Aneva Jefferson – Journal for Research in Mathematics Education, 2024

Black women faculty members face challenges in higher education, including limited identity-affirming mentorship and under-recognition of their scholarship. However, little is known about their experiences in mathematics departments, where Black women are more severely underrepresented and disciplinary ideologies of neutrality mask social…

Descriptors: African American Teachers, Females, College Faculty, Mathematics Education

Jon-Marc G. Rodriguez; Steven R. Jones – Journal for Research in Mathematics Education, 2024

Engaging in the construction and interpretation of graphs is a complex process involving concerted activation of context-specific cognitive resources. As students engage in this process, they apply fine-grained, intuitive ideas to graphical patterns: graphical forms. Using data involving pairs of students constructing and interpreting graphs, we…

Descriptors: College Students, Graphs, Cognitive Processes, Mathematics Skills

Paul Christian Dawkins; Kyeong Hah Roh – Journal for Research in Mathematics Education, 2024

This article offers the construct "unitizing predicates" to name mental actions important for students' reasoning about logic. To unitize a predicate is to conceptualize (possibly complex or multipart) conditions as a single property that every example has or does not have, thereby partitioning a universal set into examples and…

Descriptors: Thinking Skills, Logical Thinking, Mathematical Logic, Validity

Rüede, Christian; Mok, Sog Yee; Staub, Fritz C. – Journal for Research in Mathematics Education, 2023

This article shows that enabling teachers to integrate comparing solution strategies into their teaching fosters student flexibility in algebra. We designed two professional development (PD) programs that either focused exclusively on comparing solution strategies, or additionally introduced the accountable talk approach to guiding productive…

Descriptors: Faculty Development, Algebra, Discussion (Teaching Technique), Learning Strategies

Clements, Douglas H.; Sarama, Julie; Layzer, Carolyn; Unlu, Fatih – Journal for Research in Mathematics Education, 2023

A follow-up of a cluster-randomized trial evaluated the long-term impacts of a scale-up model composed of 10 research-based guidelines grounded in learning trajectories. Two treatment groups received the intervention during the prekindergarten year, and one of these groups received follow-through support in kindergarten and first grade.…

Descriptors: Models, Early Intervention, Mathematics Achievement, Age Differences

Nirode, Wayne; Boyd, Brian – Journal for Research in Mathematics Education, 2023

This study examined the prevalence of teacher tracking in a population of 1,822 mathematics teachers in 184 high schools in a single state. Results showed that 70% of teachers were tracked by course level, course track, or both. Three fourths of high schools tracked at least 58% of their mathematics teachers. We also found significant differences…

Descriptors: Mathematics Teachers, High School Teachers, Teacher Placement, Track System (Education)

Schoen, Robert; Whitacre, Ian; Champagne, Zachary – Journal for Research in Mathematics Education, 2023

Changes in U.S. textbooks indicate that U.S. first-grade students in the Common Core era were exposed to a wider variety of word problem types than students in previous generations were. We compared the performance of U.S. first graders in the Common Core era with that of previous generations in solving 11 types of additive word problems to…

Descriptors: Word Problems (Mathematics), Grade 1, Common Core State Standards, Educational History

Paoletti, Teo; Gantt, Allison L.; Corven, Julien – Journal for Research in Mathematics Education, 2023

Emergent graphical shape thinking (EGST) involves interpreting or constructing a graph as dynamically generated, which is useful across science, technology, engineering, and mathematics fields. Although evidence suggests that students as young as middle school can engage in EGST with support, other research indicates most college students and U.S.…

Descriptors: Middle School Students, Thinking Skills, Graphs, Mathematics Instruction

Roberts, Maxine T.; Almeida, Daniel J. – Journal for Research in Mathematics Education, 2023

We present findings from a study about obstacles that Black students who succeeded in developmental mathematics in community college reported having endured in those mathematics classrooms. To understand the types of obstacles that can arise for students in these classrooms, we analyze data using two frameworks: mathematics identity and dimensions…

Descriptors: African American Students, Developmental Studies Programs, Remedial Mathematics, Community Colleges

Luz, Yael; Yerushalmy, Michal – Journal for Research in Mathematics Education, 2023

We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…

Descriptors: Algorithms, Computer Assisted Testing, Geometry, Mathematics Instruction

Jiang, Yang; Cayton-Hodges, Gabrielle A. – Journal for Research in Mathematics Education, 2023

This exploratory study investigated the behaviors and content of onscreen calculator usage by a nationally representative sample of eighth-grade students who responded to items from the 2017 National Assessment of Educational Progress mathematics assessment. Meaningful features were generated from the process data to infer whether students…

Descriptors: Grade 8, Problem Solving, Calculators, Mathematics Instruction

Weingarden, Merav; Heyd-Metzuyanim, Einat – Journal for Research in Mathematics Education, 2023

One of the challenges of understanding the complexity of so-called reform mathematics instruction lies in the observational tools used to capture it. This article introduces a unique tool, drawing from commognitive theory, for describing classroom discussions. The Realization Tree Assessment tool provides an image of a classroom discussion,…

Descriptors: Mathematics Instruction, Classroom Communication, Algebra, Task Analysis

Silva, Juanita M.; Hunt, Jessica H.; Welch-Ptak, Jasmine – Journal for Research in Mathematics Education, 2023

We present the evolving fraction conceptions of two elementary school children with mathematics learning disabilities (MLD). We use qualitative analyses to capture the mathematical knowledge and experiences of each child and show how teaching was used to support advancement of their fractional reasoning. Results illustrate two viable pathways of…

Descriptors: Elementary School Students, Students with Disabilities, Learning Disabilities, Mathematics Instruction