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Direct linkCharles Hohensee; Laura Willoughby; Sara Gartland – Mathematical Thinking and Learning: An International Journal, 2024
Backward transfer is defined as the influence that new learning has on individuals' prior ways of reasoning. In this article, we report on an exploratory study that examined the influences that quadratic functions instruction in real classrooms had on students' prior ways of reasoning about linear functions. Two algebra classes and their teachers…
Descriptors: Prior Learning, Abstract Reasoning, Mathematical Concepts, Algebra
Panorkou, Nicole; Germia, Erell Feb – Mathematical Thinking and Learning: An International Journal, 2021
Integrating mathematics content into science usually plays a supporting role, where students use their existing mathematical knowledge for solving science tasks without exhibiting any new mathematical meanings during the process. To help students explore the reciprocal relationship between math and science, we designed an instructional module that…
Descriptors: Interdisciplinary Approach, Science Instruction, Mathematics Instruction, Grade 6
González-Forte, Juan Manuel; Fernández, Ceneida; Van Hoof, Jo; Van Dooren, Wim – Mathematical Thinking and Learning: An International Journal, 2022
Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…
Descriptors: Mathematics Instruction, Teaching Methods, Case Studies, Arithmetic
Ärlebäck, Jonas B.; Doerr, Helen M.; O'Neil, AnnMarie H. – Mathematical Thinking and Learning: An International Journal, 2013
Functions provide powerful tools for describing change, but research has shown that students find difficulty in using functions to create and interpret models of changing phenomena. In this study, we drew on a models and modeling perspective to design an instructional approach to develop students' abilities to describe and interpret rates of…
Descriptors: Mathematics Instruction, Models, Teaching Methods, Instructional Design
Dierdorp, Adri; Bakker, Arthur; Eijkelhof, Harrie; van Maanen, Jan – Mathematical Thinking and Learning: An International Journal, 2011
To support 11th-grade students' informal inferential reasoning, a teaching and learning strategy was designed based on authentic practices in which professionals use correlation or linear regression. These practices included identifying suitable physical training programmes, dyke monitoring, and the calibration of measurement instruments. The…
Descriptors: Statistical Inference, Abstract Reasoning, Grade 11, Secondary School Students
Nathan, Mitchell J.; Kim, Sunae – Mathematical Thinking and Learning: An International Journal, 2007
Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…
Descriptors: Curriculum Design, Middle Schools, Graphs, Grade 6
