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Barlow, Angela T.; Gerstenschlager, Natasha E.; Harmon, Shannon E. – Teaching Children Mathematics, 2016

In this article, three instructional situations demonstrate the value of using an "unknown" student's work to allow the advancement of students' mathematical thinking as well as their engagement in the mathematical practice of critiquing the reasoning of others: (1) introducing alternative solution strategies; (2) critiquing inaccuracies…

Descriptors: Mathematical Logic, Mathematics Activities, Mathematics Instruction, Mathematics Skills

Cavey, Laurie O.; Kinzel, Margaret T. – Teaching Children Mathematics, 2014

Teachers report that engaging students in solving contextual problems is an important part of supporting student understanding of algorithms for fraction division. Meaning for whole-number operations is a crucial part of making sense of contextual problems involving rational numbers. The authors present a developed instructional sequence to…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Secondary School Mathematics, Preservice Teacher Education

Kurz, Terri L. – Teaching Children Mathematics, 2013

In 2000, the "National Council of Teachers of Mathematics" recommended that Algebra Standards, "instructional programs from prekindergarten through grade 12 should enable all students to use mathematical models to represent and understand quantitative relationships." In this article, the authors suggest the "Balance"…

Descriptors: Algebra, Technology Uses in Education, Academic Standards, Numbers

Mistretta, Regina M. – Teaching Children Mathematics, 2013

Parents can positively impact children's learning of mathematics. To productively engage families in the learning process, teachers must support such interpersonal relationships. The author describes the investigative work of a group of teacher candidates as they sought to attain such understanding. Eighteen preservice teachers, who were…

Descriptors: Preservice Teacher Education, Field Experience Programs, Parent Surveys, Parent Attitudes

Callahan, Kadian M. – Teaching Children Mathematics, 2011

Standards documents, such as the Common Core State Standards for Mathematics and "Principles and Standards for School Mathematics", expect teachers to foster mathematics learning by engaging students in meaningful mathematical discourse to expose students to different ways of thinking about and solving problems and positively influence their…

Descriptors: Preservice Teachers, Mathematics Education, State Standards, Cognitive Processes

Kinzer, Cathy Jeanne; Virag, Lisa; Morales, Sara – Teaching Children Mathematics, 2011

How can a teacher use the practice of reflection to create rich mathematical learning environments that are engaging to students? In such environments, one can hear and see a seamless integration of Problem Solving, Reasoning and Proof, Communication, making mathematical Connections, and Representation (the NCTM Process Standards) through Number…

Descriptors: Feedback (Response), Teaching Methods, Reflection, Classroom Environment

Martin, W. Gary; Kasmer, Lisa – Teaching Children Mathematics, 2010

In late 2009, the National Council of Teachers of Mathematics released "Focus in High School Mathematics: Reasoning and Sense Making" (NCTM 2009). This new NCTM policy publication is designed to offer guidance for high school mathematics teachers in providing focus and coherence that parallels what "Curriculum Focal Points for Prekindergarten…

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

Lo, Jane-Jane; McCrory, Raven – Teaching Children Mathematics, 2010

Although increasing emphasis is being placed on mathematical justification in elementary school classrooms, many teachers find it challenging to engage their students in such activities. In part, this may be because the teachers themselves have not had an opportunity to learn what it means to justify solutions or prove elementary school concepts…

Descriptors: Elementary School Students, Methods Courses, Teacher Education Curriculum, Number Systems

Dubon, Lucille P.; Shafer, Kathryn G. – Teaching Children Mathematics, 2010

The initial focus of this kindergarten-level action research project was on identifying which students could create a pattern. The focus then shifted to helping all students successfully achieve this goal. The intervention uses a storyboard where students select colored cubes to represent objects and then snap the cubes together as indicated on…

Descriptors: Action Research, Early Childhood Education, Young Children, Mathematics Skills

Groth, Randall E.; Burgess, Claudia R. – Teaching Children Mathematics, 2009

Online conversations help teachers engage in constructive criticism and attend more carefully to aligning lesson plans with problem solving. This article describes a strategy for using an online discussion board to help teachers evaluate one another's lesson plans. The online peer-review activity suggests that fostering critical pedagogical…

Descriptors: Group Discussion, Lesson Plans, Criticism, Peer Evaluation

Hall, Shaun – Teaching Children Mathematics, 2009

A simple circuit is created by the continuous flow of electricity through conductors (copper wires) from a source of electrical energy (batteries). "Completing a circuit" means that electricity flows from the energy source through the circuit and, in the case described in this month's problem, causes the light bulb tolight up. The presence of…

Descriptors: Problem Solving, Probability, Light, Energy

Simic-Muller, Ksenija; Turner, Erin E.; Varley, Maura C. – Teaching Children Mathematics, 2009

This article describes an after-school mathematics program for Latino students. The program focuses on field trips to explore the mathematical practices of the community's businesses. The authors elaborate the project's general structure and illustrate the principles that guided the program. (Contains 3 tables.)

Descriptors: Field Trips, After School Education, After School Programs, Educational Practices

Rathouz, Margaret M. – Teaching Children Mathematics, 2009

To prepare to teach in mathematics classrooms where children learn to justify their thinking, the teachers themselves must have experienced an environment of inquiry, communication, collaboration, and reasoning. Teacher educators strive to establish such environments for preservice teachers (PSTs) and to support their transition from rules-based…

Descriptors: Preservice Teachers, Elementary School Mathematics, Norms, Mathematics Instruction

Bay-Williams, Jennifer M.; Livers, Stefanie – Teaching Children Mathematics, 2009

Providing appropriate language support is important for all students and essential to the success of English Language Learners (ELLs), struggling readers, and students with learning disabilities. In a mathematics classroom, the support includes the ongoing development of everyday vocabulary--such as names of fruit and actions such as skipping--and…

Descriptors: Vocabulary Development, Mathematics Achievement, Mathematical Concepts, Context Effect

Hodges, Thomas E.; Lanry, Geri A.; Cady, JoAnn – Teaching Children Mathematics, 2009

The increased popularity of lesson study in the United States--an approach to professional development initiated in Japan more than a century ago--is due in large part to findings from the 1995 Trends in International Mathematics and Science Study (TIMSS) video study and the subsequent book, "The Teaching Gap" (Stigler and Hiebert 1999). "Lesson…

Descriptors: Preservice Teachers, Education Courses, Mathematics Education, Textbooks

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