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Sofia Tancredi – Digital Experiences in Mathematics Education, 2024
Can math concepts be experienced through the sensory modality of balance? Balance Board Math (BBM) is a set of pedagogical math activities designed to instantiate mathematical concepts through stimulation to the vestibular sense: an organ in the inner ear that detects our bodily balance and orientation. BBM establishes the different ways children…
Descriptors: Mathematical Concepts, Learning Modalities, Mathematics Activities, Stimulation
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Frank, Kristin – Mathematics Teacher: Learning and Teaching PK-12, 2021
This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…
Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods
Halil Ibrahim Tasova – ProQuest LLC, 2021
In this dissertation study, I report on six middle school students' construction and interpretation of graphs and associated dynamic situations. Constructing and interpreting graphs represents a critical moment in middle school mathematics due to its opportunity to provide a powerful foundation for learning. Nevertheless, researchers have…
Descriptors: Middle School Mathematics, Middle School Students, Middle School Teachers, Mathematics Instruction
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Samuels, Jason – Mathematics Teacher, 2017
Calculus has frequently been called one the greatest intellectual achievements of humankind. As a key transitional course to college mathematics, it combines such elementary ideas as rate with new abstract ideas--such as infinity, instantaneous change, and limit--to formulate the derivative and the integral. Most calculus texts begin with the…
Descriptors: Mathematics Instruction, Calculus, Graphs, Problem Solving
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Ekici, Celil; Gard, Andrew – PRIMUS, 2017
In a series of group activities supplemented with independent explorations and assignments, calculus students investigate functions similar to their own derivatives. Graphical, numerical, and algebraic perspectives are suggested, leading students to develop deep intuition into elementary transcendental functions even as they lay the foundation for…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Formulas
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Nivens, Ryan Andrew – Australian Mathematics Teacher, 2016
This article provides a range of activities designed to engage students in using an early form of graphing. While the "Australian Curriculum: Mathematics" (2014) highlights understanding, fluency, problem-solving, and reasoning, the National Research Council (2001) describes five strands of mathematical proficiency, with the additional…
Descriptors: Graphs, Mathematical Concepts, Elementary School Mathematics, Mathematics Activities
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Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018
This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…
Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments
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Watson, Jane M.; English, Lyn D. – Journal of Statistics Education, 2016
As an extension to an activity introducing Year 5 students to the practice of statistics, the software "TinkerPlots" made it possible to collect repeated random samples from a finite population to informally explore students' capacity to begin reasoning with a distribution of sample statistics. This article provides background for the…
Descriptors: Sampling, Statistics, Mathematics Instruction, Computer Uses in Education
Fitzallen, Noleine – Mathematics Education Research Group of Australasia, 2016
Research that has explored students' interpretations of graphical representations has not extended to include how students apply understanding of particular statistical concepts related to one graphical representation to interpret different representations. This paper reports on the way in which students' understanding of covariation, evidenced…
Descriptors: Statistical Data, Graphs, Mathematical Concepts, Concept Teaching
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Sole, Marla A. – Mathematics Teacher, 2016
Every day, students collect, organize, and analyze data to make decisions. In this data-driven world, people need to assess how much trust they can place in summary statistics. The results of every survey and the safety of every drug that undergoes a clinical trial depend on the correct application of appropriate statistics. Recognizing the…
Descriptors: Statistics, Mathematics Instruction, Data Collection, Teaching Methods
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Paoletti, Teo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
Researchers have argued that students can develop foundational understandings for a variety of mathematical concepts through quantitative reasoning. I extend this research by exploring how students' quantitative reasoning can support them in developing meanings for inverse relations that influence their inverse function meanings. After summarizing…
Descriptors: Mathematics Activities, Mathematical Concepts, Thinking Skills, Statistical Analysis
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Wells, Pamela J. – Mathematics Teaching in the Middle School, 2015
Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…
Descriptors: Secondary School Mathematics, Middle School Students, Grade 8, Mathematics Instruction
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Sokolowski, Andrzej – IAFOR Journal of Education, 2015
This study investigated the effects of applying mathematical modeling on revising students' preconception of the process of optimizing area enclosed by a string of a fixed length. A group of 28 high school pre-calculus students were immersed in modeling activity that included direct measurements, data collecting, and formulating algebraic…
Descriptors: Mathematical Models, High School Students, Calculus, Algebra
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Mudaly, Vimolan – African Journal of Research in Mathematics, Science and Technology Education, 2014
Within the South African school curriculum, the section on graphical functional relationships consists of signs which include symbols, notation and imagery. In a previous article we explored the role visualisation played in the way learners understood mathematical concepts. That paper reported on the learners' fixation with the physical features…
Descriptors: Visualization, Semiotics, Mathematical Concepts, Concept Teaching
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Sorto, M. Alejandra; White, Alexander; Lesser, Lawrence M. – Teaching Statistics: An International Journal for Teachers, 2011
The least squares method of fitting a line is not one that naturally occurs to students. We present three tasks to understand student views on how lines may be fit.
Descriptors: Least Squares Statistics, Graphs, Teaching Methods, Mathematical Concepts
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