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Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teacher, 2017

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

Descriptors: Mathematical Models, Problem Solving, Mathematics Instruction, High School Students

Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic

McDowell, Eric L. – Mathematics Teacher, 2016

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Descriptors: Fractions, Number Systems, Number Concepts, Numbers

Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Mathematical Concepts

Johnson, Heather Lynn; Hornbein, Peter; Azeem, Sumbal – Mathematics Teacher, 2016

The authors provide a dynamic Ferris wheel computer activity that teachers can use as an instructional tool to help students investigate functions. They use a student's work to illustrate how students can use relationships between quantities to further their thinking about functions.

Descriptors: Mathematics Instruction, Teaching Methods, Educational Technology, Computer Uses in Education

Gurl, Theresa J.; Fox, Ryan; Dabovic, Nikolina; Leavitt, Arielle Eager – Mathematics Teacher, 2016

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

Descriptors: Teaching Methods, Mathematics Teachers, Preservice Teachers, Teaching Experience

Kurz, Terri L.; Garcia, Jorge – Mathematics Teacher, 2015

Since the 1950s, the understanding of how the base 10 system works has been encouraged through alternative base systems (Price 1995; Woodward 2004). If high school students are given opportunities to learn other base systems and analyze what they denote, we believe that they will better understand the structure of base 10 and its operations…

Descriptors: Mathematics Instruction, Mathematical Concepts, Teaching Methods, Grade 8

Manizade, Agida G.; Mason, Marguerite M. – Mathematics Teacher, 2014

A mathematics classroom that reflects the vision of NCTM's "Principles and Standards for School Mathematics" will have the teacher posing problems, asking questions that build on students' thinking, and encouraging students to explore different solutions. In teaching about area, it is not sufficient to give students the…

Descriptors: Geometric Concepts, State Standards, Academic Standards, Problem Solving

Jacobson, Erik – Mathematics Teacher, 2014

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Descriptors: Mathematics Instruction, Mathematical Models, Mathematical Logic, Teaching Methods

Estes, Linda A.; McDuffie, Amy Roth; Tate, Cathie – Mathematics Teacher, 2014

Planning a lesson can be similar to planning a road trip--a metaphor the authors use to describe how they applied research and theory to their lesson planning process. A map and mode of transportation, the Common Core State Standards for Mathematics (CCSSM) and textbooks as resources, can lead to desired destinations, such as students engaging in…

Descriptors: Mathematics Instruction, Lesson Plans, Algebra, Grade 9

Fonger, Nicole L. – Mathematics Teacher, 2014

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

Descriptors: Mathematics Instruction, Mathematical Concepts, Computer Uses in Education, Algebra