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Full-Text Articles in Education
Understanding And Advancing College Students' Mathematical Reasoning Using Collaborative Argumentation, Rachel Kay Heili
Understanding And Advancing College Students' Mathematical Reasoning Using Collaborative Argumentation, Rachel Kay Heili
MSU Graduate Theses
This study explored students’ mathematical reasoning skills and offered supports to advance them through a collaborative argumentation framework in a college intermediate algebra class. The goals of this study were to make observations about student reasoning, identify specific actions to address those observations, and document student growth in reasoning as a result of those actions. An iterative analysis, mixed method study was conducted in which the researcher engaged students in responding to questions that required conceptual understandings using a collaborative argumentation framework as a tool to identify and code components of their responses—claim, evidence, and reasoning. After coding and analyzing …
The Advantages Of Algebra For Learning Proof, Samuel Otten, Mitchelle M. Wambua
The Advantages Of Algebra For Learning Proof, Samuel Otten, Mitchelle M. Wambua
Colorado Mathematics Teacher
Calls to expand proof beyond geometry are usually based on the general benefits of proving for students, but this essay argues that proof should be extended to algebra because the representational systems in algebra are well suited for understanding the generality and deductive flow of proofs.
Developing Purposeful Questions And Analyzing Student Reasoning: Two Tools, Frederick Peck, Jessica Alzen, Derek Briggs, Raymond Johnson
Developing Purposeful Questions And Analyzing Student Reasoning: Two Tools, Frederick Peck, Jessica Alzen, Derek Briggs, Raymond Johnson
Colorado Mathematics Teacher
We introduce two tools to help teachers develop purposeful questions and collaboratively analyze student reasoning.
The Impact Of The Proposed Mathematics Enrichment Program On The Uae Students’ Mathematical Literacy In Light Of The Pisa Framework, Hanan Shaher Almarashdi
The Impact Of The Proposed Mathematics Enrichment Program On The Uae Students’ Mathematical Literacy In Light Of The Pisa Framework, Hanan Shaher Almarashdi
Dissertations
Mathematical literacy is an important skill that students must possess, as it helps students understand and use mathematics in the real world. The main aim of this dissertation is to investigate the impact of a proposed mathematical enrichment program developed based on the Programme for International Student Assessment (PISA) framework. This assessment is particularly important because it is on the National Agenda as the UAE aspires to be among the top 20 countries in the world in PISA by 2021. An explanatory mixed method design was adopted to achieve the purpose of this study. Subjects included were 102 grade 10 …
A Granular Account Of Student's Understanding Reasoning Within An Everyday And Scientific Contexts, Grace M. Gonnella
A Granular Account Of Student's Understanding Reasoning Within An Everyday And Scientific Contexts, Grace M. Gonnella
Electronic Theses and Dissertations
Teachers and educational researchers in the Maine Physical Sciences Partnership (Maine PSP) at the University of Maine identified making quality scientific arguments as a struggle for students. Not only is argumentation hard, but reasoning is the hardest component of an argument. Many frameworks have been developed to target teaching about argumentation but do not address how to teach one component of an argument in isolation. Educational practitioners encourage using everyday context to learn about arguments in the scientific context, but there is limited support in what is the best method. The first purpose of this research was to understand a …
The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson
The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson
Department of Teaching, Learning, and Teacher Education: Faculty Publications
Explicit reasoning-and-proving opportunities in the United States are often relegated to a single secondary geometry course. This study analyzed the reasoning-and-proving opportunities in six U.S. geometry textbooks, giving particular attention to the chapter that introduced proof. Analysis focused on the types of reasoning-and-proving activities expected of students and the type of mathematical statement around which the reasoning-and-proving took place, be it general or particular. Results include the fact that reasoning-and-proving opportunities in student exercises were predominantly of the particular type, whereas textbook exposition most commonly had general statements. Within the chapters introducing proof, opportunities for students to develop proofs were …
African-American Children’S Active Reasoning About Media Texts As A Precursor To Media Literacy., Renee Hobbs
African-American Children’S Active Reasoning About Media Texts As A Precursor To Media Literacy., Renee Hobbs
Renee Hobbs
No abstract provided.
Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak
Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak
College of Education and Human Sciences: Dissertations, Theses, and Student Research
This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …
Use Of Cognitive Constructs In Linear Algebra, Azucena Zamora
Use Of Cognitive Constructs In Linear Algebra, Azucena Zamora
Open Access Theses & Dissertations
Thesis analyzed the presence of two cognitive entities-- modes of thinking and metonymies and metaphors- in the reasoning of three students enrolled in a first year matrix algebra course at a southwest university via the responses given to a set of eight questions asked during one-on-one interviews. The findings of our analysis shed light on the cognitive constructs that students employ to form their understanding of linear algebra concepts. Furthermore, our findings provide clues about the ways in which students move from one mode of thinking to another in the context of varying levels of exposure to graphical, algebraic, and …