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Sauerheber, Richard D.; Muñoz, Brandon – International Journal of Mathematical Education in Science and Technology, 2020
A simple in-class demonstration of integral Calculus for first-time students is described for straightforward whole number area magnitudes, for ease of understanding. Following the Second Fundamental Theorem of the Calculus, macroscopic differences in ordinal values of several integrals, [delta]"F"(x), are compared to the regions of area…
Descriptors: Calculus, Mathematics Instruction, Comparative Analysis, Physics
Shabrina, Preya; Mostafavi, Behrooz; Tithi, Sutapa Dey; Chi, Min; Barnes, Tiffany – International Educational Data Mining Society, 2023
Problem decomposition into sub-problems or subgoals and recomposition of the solutions to the subgoals into one complete solution is a common strategy to reduce difficulties in structured problem solving. In this study, we use a datadriven graph-mining-based method to decompose historical student solutions of logic-proof problems into Chunks. We…
Descriptors: Intelligent Tutoring Systems, Problem Solving, Graphs, Data Analysis
Fernández-León, Aurora; Gavilán-Izquierdo, José María; Toscano, Rocío – International Journal of Mathematical Education in Science and Technology, 2021
In this paper, we investigate how a research mathematician conjectures and proves when conducting her research. To be precise, the aim of this study is to achieve a comprehensive understanding of the way this research mathematician develops these mathematical practices and thus gain insight to improve the teaching and learning of these two…
Descriptors: Case Studies, Mathematics, Mathematics Instruction, Teaching Methods
Dorko, Allison; Lockwood, Elise – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
This paper considers what students attend to as they first encounter R[superscript 3] coordinate axes and are asked to graph y = 3. Graphs are critical representations in single and multivariable calculus, yet findings from research indicate that students struggle with graphing functions of more than one variable. We found that some students…
Descriptors: Graphs, Mathematics Instruction, Mathematical Concepts, College Mathematics
Muttaqin, Haniful; Putri, Ratu Ilma Indra; Somakim – Journal on Mathematics Education, 2017
This research was motivated by several studies which show that students have difficulties in understanding the material ratio, wherein one contributing factor is the lack of ability in proportional reasoning. The purpose of this study is to produce a trajectory of learning to help students develop abilities in comparison reasoning. Solution…
Descriptors: Mathematics Instruction, Mathematical Concepts, Grade 7, Graphs
Savard, Annie; Manuel, Dominic – Mathematics Education Research Group of Australasia, 2015
Statistics is a domain that is taught in Mathematics in all school levels. We suggest a potential in using an interdisciplinary approach with this concept. Thus the development of the understanding of a situation might mean to use both mathematical and statistical reasoning. In this paper, we present two case studies where two middle school…
Descriptors: Mathematics Instruction, Statistics, Middle Schools, Secondary School Mathematics
What Works Clearinghouse, 2007
"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and…
Descriptors: Grade 7, Algebra, Mathematics Instruction, Mathematics Skills