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Showing all 9 results Save | Export
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Elizabeth Suazo-Flores; Lisa Roetker – Mathematics Teacher: Learning and Teaching PK-12, 2024
The Building Painted Cubes Task is a groupworthy algebraic task. Students build cubes using linking unit cubes, search for algebraic patterns, and report findings on posters. This task can create spaces for students to see themselves as doers of mathematics.
Descriptors: Algebra, Pattern Recognition, Mathematics Activities, Cooperative Learning
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Ling, Meng Kay Daniel; Loh, Sau Cheong – International Journal of Mathematical Education in Science and Technology, 2023
The understanding of the relationships between pattern recognition and mathematical abilities is important for students in their learning of mathematics and mathematics teachers in the design of their teaching pedagogies. This study examines the connections between pattern recognition and mathematical abilities of students from four Singapore…
Descriptors: Foreign Countries, Pattern Recognition, Mathematics Instruction, Mathematics Skills
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Lundberg, Anna L. V. – International Electronic Journal of Mathematics Education, 2022
This case study explores how 12-13-year-old students encounter proportional reasoning while working with geometric patterning tasks using concrete materials. The focus is on the students' use of spontaneous concepts when first dealing with such patterns in the context of collaborative work. Based on video recordings of a single lesson, a…
Descriptors: Middle School Students, Mathematics Skills, Logical Thinking, Geometric Concepts
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Wares, Arsalan; Custer, David – Mathematics Teacher: Learning and Teaching PK-12, 2023
Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…
Descriptors: Mathematical Logic, Geometry, Algebra, Spatial Ability
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Graf, Edith Aurora; Peters, Stephanie; Fife, James H.; van Rijn, Peter W.; Arieli-Attali, Meirav; Marquez, Elizabeth – ETS Research Report Series, 2019
Learning progressions (LPs) describe the development of domain-specific knowledge, skills, and understanding. Each level of an LP characterizes a phase of student thinking en route to a target performance. The rationale behind LP development is to provide road maps that can be used to guide student thinking from one level to the next. The validity…
Descriptors: Mathematical Concepts, Learning Processes, Sequential Approach, Student Development
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Mhlolo, Michael Kainose – African Journal of Research in Mathematics, Science and Technology Education, 2016
The concept of pattern recognition lies at the heart of numerous deliberations concerned with new mathematics curricula, because it is strongly linked to improved generalised thinking. However none of these discussions has made the deceptive nature of patterns an object of exploration and understanding. Yet there is evidence showing that pattern…
Descriptors: Pattern Recognition, Mathematics Instruction, Grade 11, Algebra
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van de Sande, Carla C.; Greeno, James G. – Journal of the Learning Sciences, 2012
We use a concept of framing to explain 3 cases in which participants initially lacked mutual understanding but then achieved significant mutual understanding. The cases were all consistent with a pattern of "positional framing" that includes a human participant who is inquiring, which we call a "listener", and a "source", which may be another…
Descriptors: Cognitive Structures, Algebra, Group Dynamics, Interaction
Akhtar, Zarina; Steinle, Vicki – Mathematics Education Research Group of Australasia, 2013
The study was designed to probe students' thinking about which numerical values can be assigned to algebraic letters. The data from students in Year 7 (n = 533), Year 8 (n = 377) and Year 9 (n = 172) was analysed using response patterns. The data confirmed that each year contained students with two misconceptions; "Different Letter means…
Descriptors: Secondary School Students, Secondary School Mathematics, Algebra, Student Attitudes
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Kellman, Philip J.; Massey, Christine; Roth, Zipora; Burke, Timothy; Zucker, Joel; Saw, Amanda; Aguero, Katherine E.; Wise, Joseph A. – Grantee Submission, 2008
Learning in educational settings most often emphasizes declarative and procedural knowledge. Studies of expertise, however, point to other, equally important components of learning, especially improvements produced by experience in the extraction of information: "Perceptual learning." Here we describe research that combines principles of…
Descriptors: Mathematics Instruction, Cognitive Style, Perception, Pattern Recognition