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Charles Hohensee; Matthew Melville; Crystal Collier; Yue Ma – Journal for Research in Mathematics Education, 2025
This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…
Descriptors: Mathematical Concepts, Mathematics Instruction, Prior Learning, Problem Solving
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Lea Nemeth; Frank Lipowsky – European Journal of Psychology of Education, 2024
Interleaved practice combined with comparison prompts can better foster students' adaptive use of subtraction strategies compared to blocked practice. It has not been previously investigated whether all students benefit equally from these teaching approaches. While interleaving subtraction tasks prompts students' attention to the different task…
Descriptors: Prior Learning, Subtraction, Cognitive Processes, Difficulty Level
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Gallagher, Keith; Bergman, Anna Marie; Zazkis, Rina – For the Learning of Mathematics, 2022
Backward transfer refers to the influence on prior knowledge of the acquisition and generalisation of new knowledge. Studies of backward transfer of mathematical knowledge have focused on content that is closely related in time and in curricular sequencing. Employing the notion of thickening understanding, we describe instances of transfer that…
Descriptors: Prior Learning, Transfer of Training, Mathematics Instruction, Learner Engagement
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Susan Wagner Cook; Elle M. D. Wernette; Madison Valentine; Mary Aldugom; Todd Pruner; Kimberly M. Fenn – Cognitive Science, 2024
Although children learn more when teachers gesture, it is not clear "how" gesture supports learning. Here, we sought to investigate the nature of the memory processes that underlie the observed benefits of gesture on lasting learning. We hypothesized that instruction with gesture might create memory representations that are particularly…
Descriptors: Prior Learning, Nonverbal Communication, Grade 2, Grade 3
Lauren Shapiro – ProQuest LLC, 2024
In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…
Descriptors: Mathematics Instruction, Intervention, Grade 1, Addition
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Alsina, Ángel; Salgado, María – International Journal of Science and Mathematics Education, 2022
The aim of this study is to provide data to better understand the processes of early mathematical modelling. According to this, an early mathematical modelling activity carried out by 21 Spanish schoolchildren aged 5-6 years is analysed, using the validated tool "Rubric for the Evaluation of Mathematical Modelling Processes" (REMMP). The…
Descriptors: Mathematical Models, Mathematics Instruction, Scoring Rubrics, Prior Learning
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Bailey, Jodie A. – Mathematics Teacher: Learning and Teaching PK-12, 2023
The COVID-19 pandemic has affected student learning; according to the National Assessment of Educational Progress (2022), scores for students in the United States have shown a decline in mathematics. . One way educators can strengthen students' current mathematical knowledge and bridge to new content is through Number Talks. Number Talks are brief…
Descriptors: Mathematics Instruction, Teaching Methods, Grade 7, COVID-19
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Xiaojuan Ke; Kristie J. Newton – Instructional Science: An International Journal of the Learning Sciences, 2024
Comparison is an important mechanism for learning in general, and comparing two worked examples has garnered support over the last 15 years as an effective tool for learning algebra in mainstream classrooms. This study was aimed at improving our understanding of how Modified for Language Support-Worked Example Pairs (MLS-WEPs) contribute to…
Descriptors: English Language Learners, English (Second Language), Algebra, Mathematics Instruction
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Doherty, Kristin – Mathematics Teacher: Learning and Teaching PK-12, 2023
In this article, the author describes strategies to support students in conjecturing in ways that promote their agency. Conjecturing involves justifying (i.e., a practice that promotes epistemic agency and engages students in mathematical reasoning to defend their claims; Bieda & Staples, 2020) by which a conjecture becomes proven, modified,…
Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Personal Autonomy
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Patrick B. Johnson; Corinna Singleman; Jennifer Valad; Eva Fernandez; Nathalia Holtzman – College Teaching, 2025
This study examined the extent to which college algebra instructors employ pedagogical practices previously found to assist students master difficult STEM content material and address their own previous math deficits. Faculty classroom behaviors were assessed with a modified version of the Generalized Observation and Reflection Platform (GORP).…
Descriptors: College Mathematics, Mathematics Teachers, Mathematics Instruction, College Faculty
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Christos Chytas; Sylvia Patricia van Borkulo; Paul Drijvers; Erik Barendsen; Jos L. J. Tolboom – Digital Experiences in Mathematics Education, 2024
Nowadays, mathematics teachers in K-12 strive to promote their students' mathematical knowledge and computational thinking (CT) skills. There is an increasing need for effective CT-embedded mathematics learning material and a better understanding of students' views toward them. In this work, we present the results of a research study, which…
Descriptors: Thinking Skills, Mathematics Instruction, Teaching Methods, Computer Software
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Cody, Christa; Maniktala, Mehak; Lytle, Nicholas; Chi, Min; Barnes, Tiffany – International Journal of Artificial Intelligence in Education, 2022
Research has shown assistance can provide many benefits to novices lacking the mental models needed for problem solving in a new domain. However, varying approaches to assistance, such as subgoals and next-step hints, have been implemented with mixed results. Next-Step hints are common in data-driven tutors due to their straightforward generation…
Descriptors: Comparative Analysis, Prior Learning, Intelligent Tutoring Systems, Problem Solving
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Karyl Mae Codiñera Amar; Jhelai Grace Aton; Ma. Khasila Bulan; Chona Mae Crisostomo; Alyssa Danica Estrera; Jecylle Jean Linao; Julia Mitz Mariñas; Zyann Quilicot; Elieza Jane Senillo; Mabet Vergara; Angelito Cabanilla Jr. – International Journal of Education in Mathematics, Science and Technology, 2025
A multiple regression analysis was conducted to investigate what variables may predict the student's self-perceived proficiency in mathematics. Hence, this quantitative cross-sectional survey design aimed to explore the factors predicting the student's self-perceived proficiency in mathematics using gamified instruction. Two hundred twenty-five…
Descriptors: Test Construction, Test Validity, Measures (Individuals), Self Concept
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Patmaniar; Amin, Siti Maghfirotun; Sulaiman, Raden – Journal on Mathematics Education, 2021
Students' previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding…
Descriptors: Prior Learning, Mathematics Instruction, Arithmetic, Problem Solving
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Bruce M. May – Pythagoras, 2024
A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…
Descriptors: Prior Learning, Mathematics Instruction, Mathematics Skills, Problem Solving
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