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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

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

Perry, Anthony; Estabrooks, Leigh – Science Teacher, 2019

The "Next Generation Science Standards" ("NGSS") emphasize integrating engineering design into the science classroom (NGSS Lead States 2013). Inventing is an authentic and relevant classroom approach, regardless of content area, located at one end of a design continuum opposite from routine problem solving. Invention, at the…

Descriptors: Intellectual Property, Problem Solving, Learner Engagement, Natural Disasters

Mohr, Doris, Ed.; Walcott, Crystal, Ed.; Kloosterman, Peter, Ed. – National Council of Teachers of Mathematics, 2019

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Descriptors: Problem Based Learning, Test Items, Elementary School Mathematics, Middle School Mathematics

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

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

Lischka, Alyson E.; Gerstenschlager, Natasha E.; Stephens, D. Christopher; Strayer, Jeremy F.; Barlow, Angela T. – Mathematics Teacher, 2018

Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

Descriptors: Mathematics Instruction, Error Patterns, Teaching Methods, Homework

Clinch, Adam – Mathematics Teacher, 2018

One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Problem Solving

Cloft, Kristal – Mathematics Teacher, 2018

Many ways exist to engage students without detracting from the mathematics. Certainly some are high-tech options, such as video games, online trivia sites, and PowerPoint® presentations that follow the same model as Jeopardy; but sometimes low-tech options can be just as powerful. One exciting way to connect with students is by incorporating…

Descriptors: Mathematics Instruction, Learner Engagement, Mathematics Activities, Educational Games

Eddy, Colleen M.; Pratt, Sarah S.; Green, Cheyenne N. – Mathematics Teacher, 2018

Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Descriptors: Maps, Mathematics Instruction, Mathematical Concepts, Inquiry

Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards

Bixby, Matt M. – Mathematics Teacher, 2018

Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…

Descriptors: Mathematics Instruction, Writing Assignments, Teaching Methods, Content Area Writing

Harrison, Mark – Physics Education, 2018

Putting an electrical circuit within an inaccessible black box and asking pupils to deduce what wiring is contained within the box based solely on the circuit's behaviour is a simple teaching idea with a long history. Problems arise when trying to build enough physical black boxes to simulate a larger number of circuits within a typical school's…

Descriptors: Science Instruction, Equipment, Electronics, Simulation

Kim, Eunhye; Newman, Christine; Lastova, Mark; Bosman, Timothy; Strimel, Greg J. – Technology and Engineering Teacher, 2018

This article presents a culturally situated and socially relevant lesson for intentionally teaching secondary students the fundamental engineering concepts related to Problem Framing and Project Management. This lesson includes: (1) class discussions to engage students in a socially relevant problem (food waste and sustainability) within a…

Descriptors: Secondary School Students, Social Problems, Food, Problem Solving

Riling, Meghan; Dietiker, Leslie – Mathematics Teacher, 2018

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

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

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