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Gil, Indira; Zamudio-Orozco, Laura; King, Barbara – Journal of Mathematics Education at Teachers College, 2019

When teaching through problem solving, effective mathematics teachers need to lead discussions that assist students in making connections between different solution strategies. However, while teaching a methods course for preservice teachers (PSTs), we noticed that after solving a problem and presenting various solution strategies, many PSTs…

Descriptors: Preservice Teachers, Problem Solving, Mathematics Instruction, Mathematics Skills

Wade, Carol H.; Cimbricz, Sandra K.; Sonnert, Gerhard; Gruver, Meagan; Sadler, Philip M. – Journal of Mathematics Education at Teachers College, 2018

Quantitative analysis of the Factors Influencing College Success in Mathematics (FICSMath) Survey data indicates that high school mathematics teachers' abilities to teach for conceptual understanding is a significant and positive predictor of student performance in single- variable college calculus. To explore these findings further, we gathered…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Secondary School Teachers, Mathematics Teachers

Stohlmann, Micah; Huang, Xing; DeVaul, lina – Journal of Mathematics Education at Teachers College, 2018

rowth mindset is an important belief for students to be successful in mathematics and in their current and future lives. Solving open-ended problems also has many positive benefits for students. Little research has been conducted though on growth mindset and mathematics at the middle school level and particularly growth mindset with open-ended…

Descriptors: Middle School Students, Mathematics Instruction, Student Attitudes, Problem Solving

Munroe, Kayan Lloyd – Journal of Mathematics Education at Teachers College, 2016

This paper analyzes how a teacher of mathematics used problem posing in the assessment of the cognitive development of 26 students at the grade-four level. The students, ages 8 to 10 years, were from a rural elementary school in western Jamaica. Using a picture as a prompt, students were asked to generate three arithmetic problems and to offer…

Descriptors: Foreign Countries, Grade 4, Mathematics Instruction, Problem Solving

Golnabi, Laura – Journal of Mathematics Education at Teachers College, 2016

This paper analyzes the thought process involved in problem solving and its categorization as creative thinking as defined by psychologist R. Weisberg (2006). Additionally, the notion of insight, sometimes present in unconscious creative thinking and often leading to creative ideas, is discussed in the context of geometry problem solving. In…

Descriptors: Creativity, Problem Solving, Creative Thinking, Geometry

Stokes, Patricia D. – Journal of Mathematics Education at Teachers College, 2016

Experts think in patterns and structures using the specific "language" of their domains. For mathematicians, these patterns and structures are represented by numbers, symbols and their relationships (Stokes, 2014a). To determine whether elementary students in the United States could learn to think in mathematical patterns to solve…

Descriptors: Problem Solving, Expertise, Grade 2, Elementary School Mathematics

Contreras, José – Journal of Mathematics Education at Teachers College, 2015

In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…

Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Geometric Concepts

Eisenhut, Lindsay A.; Taylor, Cynthia E. – Journal of Mathematics Education at Teachers College, 2015

This paper provides empirical findings from a study that examined how three grade 7-12 flipped mathematics educators utilized class time when implementing a flipped learning model. Additionally, the researchers investigated the educators' purposes for various in-class tasks as well as their general use of class time. The data revealed flipped…

Descriptors: Mathematics Instruction, Mathematics Education, Mathematics Teachers, Problem Solving

Fletcher, Nicole – Journal of Mathematics Education at Teachers College, 2014

Mathematics curriculum designers and policy decision makers are beginning to recognize the importance of problem solving, even at the earliest stages of mathematics learning. The Common Core includes sense making and perseverance in solving problems in its standards for mathematical practice for students at all grade levels. Incorporating problem…

Descriptors: Common Core State Standards, State Standards, Problem Solving, Mathematics

Contreras, José – Journal of Mathematics Education at Teachers College, 2014

In this paper I describe how I have used the classic buried treasure problem with prospective and practicing mathematics teachers to enhance their problem solving abilities and disposition to integrate interactive geometry software (IGS) into the learning environment. I illustrate how IGS may be used as a strategic tool to gain insight into the…

Descriptors: Computer Software, Geometry, Problem Solving, Geometric Concepts

Greenes, Carole – Journal of Mathematics Education at Teachers College, 2014

Tasks to Advance the Learning of Mathematics (TALMs) were developed to stimulate grades 5-8 students' curiosity about complex mathematical relationships, inspire them to reason abstractly and quantitatively, encourage them to consider and create alternative solution approaches, develop their skills to persuade others about the viability of one…

Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Grade 5

Stephens, Max; Keqiang, Richard Xu – Journal of Mathematics Education at Teachers College, 2014

In the Western developed world, the language of 21st century competencies, also referred to as 21st century skills or competences, is a powerful means of drawing attention to links between the secondary school curriculum, post-secondary education, and the social and economic imperatives of the developed economies. This paper will analyze different…

Descriptors: Mathematics Instruction, Mathematics Education, Mathematics Curriculum, Foreign Countries

Contreras, José – Journal of Mathematics Education at Teachers College, 2014

This paper describes how the author's students (in-service and pre-service secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic…

Descriptors: Geometry, Computer Software, Mathematics Teachers, Mathematical Logic

Contreras, José N. – Journal of Mathematics Education at Teachers College, 2013

This paper discusses a classroom experience in which a group of prospective secondary mathematics teachers were asked to create, cooperatively (in class) and individually, problems related to Viviani's problem using a problem-posing framework. When appropriate, students used Sketchpad to explore the problem to better understand its attributes…

Descriptors: Secondary School Teachers, Mathematics Teachers, Preservice Teachers, Problem Solving

Stokes, Patricia D. – Journal of Mathematics Education at Teachers College, 2013

The dictionary definition of constraint is one-sided, solely restrictive. The problem-solving definition is two-sided. Constraints come in pairs. One retains its restrictive function, precluding something specific; the other directs search for its substitute. The paired constraint model is applied to both domain and classroom. I discuss the…

Descriptors: Mathematics Instruction, Classroom Techniques, Creativity, Problem Solving

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