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Kristen Tripet – Mathematics Education Research Group of Australasia, 2024
Despite substantial research exploring multiplicative thinking and students' difficulty in the domain, the topic of multi-digit multiplication is under-researched. In this paper, I share a learning trajectory for multi-digit multiplication that combined social and cognitive perspectives of learning. Using Design Research methods and involving 45…
Descriptors: Multiplication, Mathematics Instruction, Teaching Methods, Learning Trajectories
Allison L. Gantt; Teo Paoletti; Srujana V. Acharya; Claudine Margolis – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Emergent graphical shape thinking (EGST) entails conceiving a graph as being dynamically generated via the trace of a moving point constrained by two changing quantities. As such, Paoletti et al. (2023) argue that meanings for quantities within a situation and meanings for graphical representations must be connected, or bridged, to engage in EGST.…
Descriptors: Graphs, Mathematics Instruction, Task Analysis, Thinking Skills
Rao, V. N. V.; Legacy, Chelsey; Zieffler, Andrew; delMas, Robert – Teaching Statistics: An International Journal for Teachers, 2023
Our complex world requires multivariate reasoning to make sense of reality. Within this paper, we offer a sequence of activities designed to develop multivariate reasoning by explicitly connecting data and visualization. The activities were designed based on a hypothetical learning trajectory we conjectured for students with limited experience…
Descriptors: Statistics Education, Visual Aids, Data Analysis, Faculty Development
Peter Hu; Yangqiuting Li; Chandralekha Singh – Physical Review Physics Education Research, 2024
Quantum information science and engineering (QISE) is a rapidly developing field that leverages the skills of experts from many disciplines to utilize the potential of quantum systems in a variety of applications. It requires talent from a wide variety of traditional fields, including physics, engineering, chemistry, and computer science, to name…
Descriptors: Quantum Mechanics, Computer Science Education, Inquiry, Teaching Methods
Rukiye Ayan-Civak; Mine Isiksal-Bostan; Seçil Yemen-Karpuzcu – International Journal of Mathematical Education in Science and Technology, 2024
This study is a case study within a three-year-long design research study. The purposes of this study are twofold. The first purpose includes investigating whether there is a significant difference in seventh-grade students' proportional reasoning skills before and after a teaching experiment conducted in line with the perspectives of Hypothetical…
Descriptors: Retention (Psychology), Teaching Methods, Mathematics Instruction, Mathematics Tests
Reinke, Luke T.; Register, Jordan T.; Stephan, Michelle – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Designers of critical mathematics instruction have documented difficulties in simultaneously fostering the development of critical consciousness while supporting students in developing understandings of new mathematics. However, confining justice-oriented tasks to applications of previously learned mathematics limits the degree to which these…
Descriptors: Instructional Design, Mathematics Instruction, Ethics, Critical Thinking
Blanton, Maria – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…
Descriptors: Learning Trajectories, Access to Education, Algebra, Mathematics Education
Pérez Martínez, Helen Mariel; Cuevas-Vallejo, Carlos A.; Islas Ortiz, Erasmo; Orozco-Santiago, José – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
In this paper, we present the development of an investigation on the promotion of covariational reasoning in high school students (14-15 years old) in Mexico. The study consists of designing and applying a sequence of didactic activities that simulate a real situation virtually. The activities are organized through a Hypothetical Learning…
Descriptors: Thinking Skills, Mathematics Instruction, High School Students, Learning Trajectories
Purnomo, Yoppy Wahyu; Arlini, Rizki; Nuriadin, Ishaq; Aziz, Tian Abdul – Mathematics Teaching Research Journal, 2021
Learning emphasizing fractions as a part-whole concept causes several limitations in developing fraction knowledge and inhibits proportional reasoning. We use fractions as quotients as the first context introduced in our learning trajectory. We report the teaching experiment results using the improved learning trajectory on thirty 4th grade…
Descriptors: Teaching Methods, Fractions, Mathematics Instruction, Thinking Skills
Suh, Jennifer M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Learning Trajectories have the potential to be used as a tool to advance equity by explicitly connecting to anti-deficit framing and asset-based instruction. This plenary paper highlights research on three use cases for learning trajectories (LT) with an intentionality around promoting equity: 1) the use of LT based Lesson Study with vertical…
Descriptors: Learning Trajectories, Equal Education, Lesson Plans, Formative Evaluation
Langbeheim, Elon; Ben-Eliyahu, Einat; Adadan, Emine; Akaygun, Sevil; Ramnarain, Umesh Dewnarain – Chemistry Education Research and Practice, 2022
Learning progressions (LPs) are novel models for the development of assessments in science education, that often use a scale to categorize students' levels of reasoning. Pictorial representations are important in chemistry teaching and learning, and also in LPs, but the differences between pictorial and verbal items in chemistry LPs is unclear. In…
Descriptors: Science Instruction, Learning Trajectories, Chemistry, Thinking Skills
Maria Blanton; Angela Murphy Gardiner; Ana Stephens; Rena Stroud; Eric Knuth; Despina Stylianou – Grantee Submission, 2023
We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…
Descriptors: Mathematics Curriculum, Curriculum Design, Mathematics Instruction, Kindergarten
Crawford, Angela R. – Investigations in Mathematics Learning, 2022
Learning trajectories are built upon progressions of mathematical understandings that are typical of the general population of students. As such, they are useful frameworks for exploring how understandings of diverse learners may be similar or different from their peers, which has implications for tailoring instruction. The purpose of this…
Descriptors: Learning Trajectories, Mathematics Instruction, Student Diversity, Guidelines
Zahner, William; Wynn, Lynda – Mathematical Thinking and Learning: An International Journal, 2023
Learning trajectory (LT) research in mathematics education has shaped both instructional materials and assessments. But, the body of LT research has also been critiqued for not adequately considering equity and addressing student diversity. This study begins to fill this gap by characterizing the reasoning of 23 multilingual students who…
Descriptors: Educational Change, Teaching Methods, Learning Trajectories, Multilingualism