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Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E. – Mathematics Teaching in the Middle School, 2019

With an increased focus on using social discourse to enhance students' mathematical thinking and reasoning (NCTM 2014, Staples and King 2017), teachers are looking for discussion strategies that encourage middlelevel students to make sense of mathematical concepts. However, structuring these valuable discussions is complex. Teachers must carefully…

Descriptors: Mathematics Instruction, Middle School Teachers, Teaching Methods, Classroom Environment

Tapee, Michael; Cartmell, Tammy; Guthrie, Tammy; Kent, Laura B. – Mathematics Teaching in the Middle School, 2019

This article describes the practices the authors use to promote learning mathematics through social interactions that they cultivate in their classrooms throughout the year. The design of their instruction is guided by two productive discourse practices that they have found to be the most powerful. The first practice involved posing open…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Practices, Interaction

Frabasilio, Angela Marie – Mathematics Teaching in the Middle School, 2019

Ever try to captivate students with real-world applications only to discover that they live in a very different world? Assigning an Extreme Word Problem activity to students alleviates this dilemma by placing the authorship of a problem squarely into the hands of learners. Rather than trying to be hip and finding word problems that resonate with…

Descriptors: Word Problems (Mathematics), Mathematics Instruction, Imagination, Problem Solving

Chu, Haiwen; Hamburger, Leslie – Mathematics Teaching in the Middle School, 2019

All students need to discuss mathematics to develop and deepen understanding. However, for English Learners (ELs), peer dialogue is imperative and indispensable to conceptual understanding as they participate in mathematical practices and engage in increasingly sophisticated uses of language (Heritage, Walqui, and Linquanti 2015). As ELs share…

Descriptors: Mathematics Teachers, Mathematics Instruction, English Language Learners, Peer Relationship

Sela, Hagit; Davis, Nicole; Hulse, Jennifer – Mathematics Teaching in the Middle School, 2019

In education, "dialogue protocols," or "protocols," are structured guidelines that were developed to promote meaningful and efficient communication and learning. They are "vehicles for building the skills--and culture-- necessary for collaborative work. The authors share protocols that were found to transform practices…

Descriptors: Mathematics Instruction, Mathematics Teachers, Communication Skills, Interpersonal Relationship

Herbel-Eisenmann, Beth; Shah, Niral – Mathematics Teaching in the Middle School, 2019

This article explores teaching practices described in NCTM's [National Council of Teachers of Mathematics'] "Principles to Actions: Ensuring Mathematical Success for All." Investigating and mitigating implicit bias in questions are discussed in this article, which is another installment in the series.

Descriptors: Teaching Methods, Mathematics Instruction, Middle School Mathematics, Questioning Techniques

Bush, Sarah B. – Mathematics Teaching in the Middle School, 2019

In April 2018, the National Council of Teachers of Mathematics (NCTM) released "Catalyzing Change in High School Mathematics: Initiating Critical Conversations," a long-needed and well-articulated position for transforming the core purposes, structures, instructional practices, essential mathematics concepts, and organization of high…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Educational Change, Mathematical Concepts

Stephan, Michelle; Smith, Jennifer – Mathematics Teaching in the Middle School, 2019

Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…

Descriptors: Mathematics Instruction, Mathematics Teachers, Middle School Teachers, Middle School Mathematics

Wessman-Enzinger, Nicole M. – Mathematics Teaching in the Middle School, 2019

The article uses vignettes to illustrate a small group of of grade 5 students who worked on different types of temperature problems (Wessman-Enzinger and Tobias 2015). The Common Core State Standards for Mathematics (CCSSM) recommends including contexts, such as temperature, paired with the introduction to integers in grade 6 and integer…

Descriptors: Numbers, Mathematics Instruction, Vignettes, Sentences

Beaudine, Gregory – Mathematics Teaching in the Middle School, 2018

If teachers have a deeper comprehension of their students' reading ability, it may lead to students' improved literacy and understanding of the subject. The account presented in this article of the author's growing interest in mathematical literacy specifically involves mathematical reading. This shift in interest began with a six-week…

Descriptors: Numeracy, Mathematics Instruction, Grade 8, Middle School Students

Moore, Kimberly – Mathematics Teaching in the Middle School, 2018

Minecraft is an open world survival computer game that was originally created in Sweden in 2011 and later purchased by Microsoft® in 2014. It is among the most popular computer games with students of all ages because it gives players a sense of ownership and opportunities for creative exploration. The game has three unique features: (1) no clear…

Descriptors: Middle School Students, Grade 8, Secondary School Mathematics, Mathematics Instruction

Willingham, James C.; Strayer, Jeremy F.; Barlow, Angela T.; Lischka, Alyson E. – Mathematics Teaching in the Middle School, 2018

Middle-grades teachers and students can have different perspectives on the value of discussing students' mathematical mistakes, despite various classroom evidence that such discussions can help foster strong conceptual understanding. Some teachers consider student mistakes to be an opportunity to correct errors in individual student thinking.…

Descriptors: Mathematics Instruction, Misconceptions, Mathematical Concepts, Middle School Students

Barlow, Angela T.; Gerstenschlager, Natasha E.; Strayer, Jeremy F.; Lischka, Alyson E.; Stephens, D. Christopher; Hartland, Kristin S.; Willingham, J. Christopher – Mathematics Teaching in the Middle School, 2018

This article begins by describing a class scenario in which a teacher gives her students the L problem (Watanabe 2008), which involves finding the area of a composite figure. Her students inappropriately extend the area formula for rectangles (A = L x W) to composite figures by multiplying all given dimensions. After class, the teacher concluded…

Descriptors: Mathematics Instruction, Scaffolding (Teaching Technique), Teaching Methods, Problem Solving

Lynch, Sararose D.; Hunt, Jessica H.; Lewis, Katherine E. – Mathematics Teaching in the Middle School, 2018

This article demonstrates how to consider differentiating instruction for diverse learners while maintaining the cognitive demand of a mathematics task. The authors present scenarios involving hypothetical cases of students in inclusive classrooms who engaged in productive struggle within the differentiated task. The authors specifically focus on…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Individualized Instruction, Student Needs

Murawska, Jaclyn M. – Mathematics Teaching in the Middle School, 2018

How can a cognitively demanding real-world task such as the Seven Billion People problem promote productive struggle "and" help shape students' mathematical dispositions? Driving home from school one evening, Jaclyn Murawska heard a commentator on the radio announce three statements: (1) experts had determined that the world population…

Descriptors: Mathematics, Computation, Mathematics Instruction, Elementary School Teachers