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Full-Text Articles in Education
Three Questions From Cctm Teachers About Mathematical Modeling, Robyn Stankiewicz-Van Der Zanden, Rachel Levy
Three Questions From Cctm Teachers About Mathematical Modeling, Robyn Stankiewicz-Van Der Zanden, Rachel Levy
Colorado Mathematics Teacher
This article shares three questions and answers about mathematical modeling in the classroom from an April 2020 online conversation with participants of a CCTM webinar. We hope that the answers to these questions will motivate teachers to embrace the value of implementing math modeling tasks, help students see the math all around them in the world, and empower future professionals to reach for the mathematical tools in their pockets to make data-driven decisions.
Mathematical Modeling: Part 1 Of Series, Catherine Martin
Mathematical Modeling: Part 1 Of Series, Catherine Martin
Colorado Mathematics Teacher
The Guidelines for Assessment and Instruction in Mathematical Modeling Education (GAIMME), released in April 2016, provides specific guidance and support to teachers as they incorporate the practice of mathematical modeling into classroom instruction.
Elementary Preservice Teachers’ Perceptions Of Modeling As A Tool For Instruction, Ginger S. Watson, Mary Enderson
Elementary Preservice Teachers’ Perceptions Of Modeling As A Tool For Instruction, Ginger S. Watson, Mary Enderson
Teaching & Learning Faculty Publications
As the standards movement continues to gain momentum in U.S. schools, preservice and in-service teachers need greater knowledge in mathematical modeling to engage PK-12 students in such practices. This case-based research study investigated the perceptions and understandings of modeling for 76 entry-level, preservice elementary teachers enrolled in a mathematics methods course at a mid-Atlantic university. Participants were prompted to define modeling and its application to classroom instruction through open-response questions administered in an online survey. A case-based, phenomenological method was used to code and analyze responses. Most preservice teachers expressed a very limited definition or understanding of modeling or how …
Building Conceptual Understandings Of Equivalence, Kelli Rich
Building Conceptual Understandings Of Equivalence, Kelli Rich
Boise State University Theses and Dissertations
The equal sign is prevalent at all levels of mathematics however many students misunderstand the meaning of the equal sign and consider it an operational symbol for the completion of an algorithm (Baroody & Ginsburg, 1983; Rittle-Johnson & Alibali, 1999). Three constructs were studied through the lens of the Developing Mathematical Thinking (Brendefur, 2008), Relational Thinking, Spatial Reasoning and Modes of Representation. A review of literature was conducted to examine the effects of mathematics instruction on the development of students’ conceptual understanding of equivalence through the integration of spatial reasoning and relational thinking. The Developing Mathematical Thinking (DMT) curricular resources …
Implementing The Constructed Scaffold Model: Hands-On Activity Units For Advanced Placement Calculus, Susan Scott
Implementing The Constructed Scaffold Model: Hands-On Activity Units For Advanced Placement Calculus, Susan Scott
Theses and Dissertations
The purpose of the present action research study is to describe a hands-on activity model, named the Constructed Scaffold Model (CSM), used in an Advanced Placement Calculus class in a southeastern United States suburban high school. Data were collected over an 8-week period during the spring 2017 semester. The teacher-researcher developed a pretest and posttest to describe the CSM’s impact on 10 student-participants in her Advanced Placement classroom. Repeated measures t-tests were used to determine the effect of the CSM on the student-participants’ test scores. Additional qualitative data were collected from field notes, student surveys, a focus group, and student …
Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence
Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence
Publications and Research
In the United States, one of the Standards for Mathematical Practice of the Common Core Curriculum (Common Core State Standards Initiative, 2010) is Model with mathematics. This standard requires that students be taught in a manner that will enable them to ―apply the mathematics they know to solve problems arising in everyday life, society, and the workplace‖ (p. 7). However many prospective and practicing teachers acquire a pedagogical style that does not support this standard. To promote higher levels of student thinking associated with mathematical modeling, teachers must thus be taught not only what mathematical modeling is, but how it …
A Primer For Mathematical Modeling, Marla A. Sole
A Primer For Mathematical Modeling, Marla A. Sole
Publications and Research
With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …