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Sullivan, Patrick; Barnett, Joann – Australian Primary Mathematics Classroom, 2019
Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.
Descriptors: Fractions, Comparative Analysis, Mathematics Instruction, Teaching Methods
Stegall, Joanna B.; Malloy, Jacquelynn A. – Mathematics Teacher, 2019
The ties between literacy and numeracy exist in the development of vocabulary and language for understanding mathematical concepts. Research indicates that explicit instruction in mathematics vocabulary supports success with mathematics problem solving (Biemiller 2009; Pierce and Fontaine 2009; Rubenstein and Thompson 2002) for native…
Descriptors: Misconceptions, Mathematics Instruction, Algebra, Mathematics
Quigley, Cassie F.; Herro, Danielle – Teachers College Press, 2019
This practical book will help readers understand what STEAM is, how it differs from STEM, and how it can be used to engage students in K-8 classrooms. The authors present a conceptual model with recommendations and classroom examples illustrating various key aspects of STEAM teaching in action, including creating the correct teaching environment,…
Descriptors: STEM Education, Art Education, Elementary Schools, Middle Schools
Keazer, Lindsay; Gerberry, Carla – Teaching Children Mathematics, 2017
Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…
Descriptors: Common Core State Standards, Mathematics Education, Problem Solving, Persistence
Suh, Jennifer M.; Seshaiyer, Padmanabhan – Rowman & Littlefield Publishers, 2016
"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…
Descriptors: Elementary School Mathematics, Secondary School Mathematics, Mathematics Instruction, Problem Solving
Allen, Kasi; Schnell, Kemble – Mathematics Teaching in the Middle School, 2016
Many middle school students approach math with caution, often trepidation, and generally less-than-complete confidence. Several factors contribute to their views of what math actually is (a system of rules to follow and formulas to apply) as well as who might be good at it (people who can see the path to an answer and calculate quickly). A few say…
Descriptors: Mathematics, Mathematics Instruction, Middle School Students, Mathematics Anxiety
Markworth, Kim; McCool, Jenni; Kosiak, Jennifer – National Council of Teachers of Mathematics, 2015
Holidays and seasonal activities provide excitement and a change of pace for teachers and students alike. They also offer perfect backdrops for mathematical tasks that can be related to other topics and themes in the classroom. "Problem Solving in All Seasons, Prekindergarten-Grade 2" delivers thirty-two appealing, real-world situations,…
Descriptors: Primary Education, Early Childhood Education, Problem Solving, Kindergarten
Drake, Corey; Land, Tonia J.; Bartell, Tonya Gau; Aguirre, Julia M.; Foote, Mary Q.; McDuffie, Amy Roth; Turner, Erin E. – Teaching Children Mathematics, 2015
Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…
Descriptors: Mathematics Curriculum, Mathematics Instruction, Relevance (Education), Problem Solving
Mueller, Mary; Yankelewitz, Dina – Kappa Delta Pi Record, 2014
Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…
Descriptors: Teaching Methods, Error Correction, Mathematics Instruction, Elementary School Mathematics
Whitacre, Ian; Bishop, Jessica Pierson; Philipp, Randolph A.; Lamb, Lisa L.; Schappelle, Bonnie P. – Mathematics Teaching in the Middle School, 2014
A story problem about borrowing money, presented in this article, may be represented with positive or negative numbers and thought about in different ways. The authors describe ideas related to integers (both positive and negative) and how students used them in relation to a story problem, and how they related these ideas to equations.
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Word Problems (Mathematics)
National Council of Teachers of Mathematics, 2015
Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…
Descriptors: Geometry, Educational Practices, Secondary School Mathematics, Pedagogical Content Knowledge
McGinn, Kelly M.; Lange, Karin E.; Booth, Julie L. – Mathematics Teaching in the Middle School, 2015
Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…
Descriptors: Algebra, Mathematical Concepts, Fundamental Concepts, Misconceptions
Henderson, Peter; Hodgen, Jeremy; Foster, Colin; Kuchemann, Dietmar – Education Endowment Foundation, 2017
This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…
Descriptors: Mathematics Skills, Elementary Education, Teaching Methods, Mathematics Instruction
Abramovich, Sergei; Brouwer, Peter – PRIMUS, 2011
This article is a reflection on an elementary pre-service teacher's intuitive idea offered as a mistaken solution strategy for counting matchsticks. It shows the difficulties in responding to flawed lines of intuitive reasoning arising in the classroom setting. A number of learning environments for teacher professional development are suggested…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Elementary School Mathematics
Lo, Jane-Jane; Ko, Yi-Yin – Mathematics Teaching in the Middle School, 2013
Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.
Descriptors: Preservice Teacher Education, Preservice Teachers, Secondary School Mathematics, Mathematical Concepts