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Barahmand, Ali – For the Learning of Mathematics, 2020
Learning the concept of fractions is among the most challenging topics in school mathematics. One of the main sources of difficulties in learning fractions is related to "natural number bias" (Van Hoof, Verschaffel & Van Dooren, 2015). Applying properties of the natural numbers incorrectly in situations involving rational numbers can…
Descriptors: Mathematics Instruction, Fractions, Number Concepts, Numbers
Abramovich, Sergei; Nikitin, Yakov Yu. – Computers in the Schools, 2017
This article is written to share teaching ideas about using commonly available computer applications--a spreadsheet, "The Geometer's Sketchpad", and "Wolfram Alpha"--to explore three classic and historically significant problems from the probability theory. These ideas stem from the authors' work with prospective economists,…
Descriptors: Probability, Mathematics Instruction, Spreadsheets, Computer Assisted Instruction
Wheeler, Ann; Champion, Joe – Mathematics Teaching in the Middle School, 2016
Students are faced with many transitions in their middle school mathematics classes. To build knowledge, skills, and confidence in the key areas of algebra and geometry, students often need to practice using numbers and polygons in a variety of contexts. Teachers also want students to explore ideas from probability and statistics. Teachers know…
Descriptors: Probability, Middle School Students, Mathematics, Mathematics Instruction
Lischka, Alyson E., Ed.; Dyer, Elizabeth B., Ed.; Jones, Ryan Seth, Ed.; Lovett, Jennifer N., Ed.; Strayer, Jeremy, Ed.; Drown, Samantha, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…
Descriptors: Educational Psychology, Mathematics Education, Conferences (Gatherings), Conference Papers
Boyce, Steven – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this proposal, I introduce a method for modeling the dynamics of a sixth-grade student's accommodation of his fractions scheme to include a disembedding operation (Steffe & Olive, 2010). I will describe a three-part approach consisting of a constructivist teaching experiment, retrospective analysis, and stochastic modeling of the student's…
Descriptors: Grade 6, Fractions, Mathematics Instruction, Teaching Methods
Olson, Travis A. – Investigations in Mathematics Learning, 2016
Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…
Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics, Mathematics Instruction
An Initial Investigation into the Mathematical Background of Those Who Pass the CSET for Mathematics
Berglund, Jorgen – Issues in Teacher Education, 2013
Faced with a chronic shortage of single-subject mathematics teachers and a directive from the federal legislation "No Child Left Behind" that all students are taught by highly qualified teachers, California instituted a new subject-matter competency exam, the California Subject Exam for Teachers for Mathematics (CSET), and created a new…
Descriptors: Mathematics Teachers, Teacher Competencies, Mathematics Instruction, Teacher Qualifications
Bartell, Tonya Gau, Ed.; Bieda, Kristen N., Ed.; Putnam, Ralph T., Ed.; Bradfield, Kenneth, Ed.; Dominguez, Higinio, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
The theme of this year's conference is "Critical Responses to Enduring Challenges in Mathematics Education." The theme of this year's conference invites mathematics education scholars to reflect upon and critically respond to enduring challenges in teaching and learning mathematics for all students. To ignite discussion within the field,…
Descriptors: Mathematics Education, Barriers, Conferences (Gatherings), Mathematical Concepts
Dingman, Shannon; Teuscher, Dawn; Newton, Jill A.; Kasmer, Lisa – Elementary School Journal, 2013
This article reports the findings from a comparative analysis that examined several mathematical content strands, reasoning processes, and emphasis on technology in prior K-8 state mathematics standards and the Common Core State Standards for Mathematics (CCSSM). Various methodological tools were utilized to compare and contrast CCSSM with prior…
Descriptors: Academic Standards, Mathematics Instruction, Mathematics Achievement, Course Content
Martinez, Mara V., Ed.; Superfine, Alison Castro, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
These Proceedings are a written record of the research presented at the 35th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2013) held in Chicago, Illinois, November 14-17, 2013. The theme of the conference is Broadening Perspectives on Mathematics Thinking and Learning.…
Descriptors: Mathematics Education, Mathematics Curriculum, Algebra, Number Concepts
Boyce, Steven J.; Wilkins, Jesse L. M.; MacDonald, Beth Loveday – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
An interview with a sixth-grade student illustrates how her number sense and understanding of variability relate to her ability and proclivity to apply a frequentist (statistical) approach to probability tasks. A general suggestion for teaching about mathematics of uncertainty through the gradual strengthening of estimation, as per the historical…
Descriptors: Mathematics Instruction, Middle School Students, Grade 6, Probability
Brendefur, Jonathan L.; Thiede, Keith; Strother, Sam; Bunning, Kim; Peck, Duane – Journal of Curriculum and Teaching, 2013
In the present research, we evaluated the effectiveness of a multi-year professional development program in mathematics for elementary teachers. Each year the program focused on a different domain of mathematics. We found the program increased teachers' knowledge of (a) number and operations, (b) measurement and geometry, and (c) probability and…
Descriptors: Mathematics Instruction, Mathematical Logic, Thinking Skills, Faculty Development
Wickett, Maryann; Hendrix-Martin, Eunice – Stenhouse Publishers, 2011
Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right…
Descriptors: Educational Strategies, Student Evaluation, Standardized Tests, Multiple Choice Tests
Muschla, Judith A.; Muschla, Gary Robert; Muschla, Erin – Jossey-Bass, An Imprint of Wiley, 2012
The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…
Descriptors: State Standards, Mathematics Instruction, Academic Standards, Experiential Learning
Alaska Department of Education & Early Development, 2012
High academic standards are an important first step in ensuring that all Alaska's students have the tools they need for success. These standards reflect the collaborative work of Alaskan educators and national experts from the nonprofit National Center for the Improvement of Educational Assessment. Further, they are informed by public comments.…
Descriptors: Academic Standards, State Standards, Mathematics Achievement, Mathematics Skills