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Direct linkAhmadpour, Fatemeh; Reid, David; Reza Fadaee, Mohammad – Mathematical Thinking and Learning: An International Journal, 2019
We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Secondary School Mathematics
Visnovska, Jana; Cobb, Paul – Mathematical Thinking and Learning: An International Journal, 2019
We report on five-year professional development collaboration with a group of middle-school mathematics teachers during which their views of what constitutes a productive classroom statistical activity changed. The teachers' statistics instruction was initially typical in the US context and focused on producing calculations and following…
Descriptors: Teacher Attitudes, Attitude Change, Statistics, Mathematics Activities
Wernet, Jamie L. W. – Mathematical Thinking and Learning: An International Journal, 2017
It has been theorized that contextual tasks support student engagement and sense making. Yet, contradictory ideas exist about the role of these tasks in lessons, and further research is needed to explore how classroom interactions can help achieve their intended purposes. Through video observation of lessons in three eighth-grade classrooms using…
Descriptors: Mathematics Education, Classroom Environment, Classroom Techniques, Interaction
Ellis, Amy B.; Ozgur, Zekiye; Kulow, Torrey; Dogan, Muhammed F.; Amidon, Joel – Mathematical Thinking and Learning: An International Journal, 2016
This article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students' initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students' thinking and learning over time in relation to a set of tasks…
Descriptors: Numbers, Mathematics, Mathematics Instruction, Middle School Students
Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematical Thinking and Learning: An International Journal, 2016
Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…
Descriptors: Numbers, Arithmetic, Mathematics, Mathematics Instruction
Hunt, Jessica Heather; Tzur, Ron; Westenskow, Arla – Mathematical Thinking and Learning: An International Journal, 2016
The literature seems limited in what is known about conceptual processes that underlie evolution of students with learning disabilities (SLD) conceptions of fractions. This exploratory study examines how a foundational scheme of unit fractions (1/n) may evolve through the mathematical activity of two fifth grade girls. We analyze data segments…
Descriptors: Grade 5, Learning Disabilities, Mathematics, Mathematics Instruction
