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Science and Mathematics Education Commons™
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- Teaching and learning (10)
- Problem solving (5)
- Book review (4)
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- Assessment (3)
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- Standards (3)
- Tasks (3)
- Algebra (2)
- Equity (2)
- Formative assessment (2)
- Growth mindset (2)
- Procedural fluency (2)
- Reasoning (2)
- Routines (2)
- Teaching and Learning (2)
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- Tools and Technology (2)
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Articles 1 - 30 of 40
Full-Text Articles in Science and Mathematics Education
Dot Card Number Talks: Illustrating Counting Strategies With Preservice Elementary Teachers, Robert Knurek
Dot Card Number Talks: Illustrating Counting Strategies With Preservice Elementary Teachers, Robert Knurek
Colorado Mathematics Teacher
A dot card number talk was implemented in a mathematics content course with preservice elementary teachers (PsETs) to highlight counting strategies that are commonly seen in elementary school mathematics. PsETs' sketches on the dot cards showcase many different strategies, such as counting-all, counting-on, matching, and subitizing. While their illustrations demonstrated these different strategies, their answers were ultimately the same. The dot card number talk sparked meaningful conversations and helped PsETs distinguish between the counting strategies.
Building Logarithms As Functions, Derek A. Williams
Building Logarithms As Functions, Derek A. Williams
Colorado Mathematics Teacher
Students traditionally struggle to conceptualize logarithms as families of functions in their own right. I present an approach to support students' understanding of logarithmic functions. The common properties of logarithms become defining characteristics, which complements the traditional approach of studying logarithms as the inverses of exponentials.
The Advantages Of Algebra For Learning Proof, Samuel Otten, Mitchelle M. Wambua
The Advantages Of Algebra For Learning Proof, Samuel Otten, Mitchelle M. Wambua
Colorado Mathematics Teacher
Calls to expand proof beyond geometry are usually based on the general benefits of proving for students, but this essay argues that proof should be extended to algebra because the representational systems in algebra are well suited for understanding the generality and deductive flow of proofs.
Book Review Of Motivation Matters And Interest Counts, Cassie Gannett
Book Review Of Motivation Matters And Interest Counts, Cassie Gannett
Colorado Mathematics Teacher
This book review of Motivation Matters and Interest Counts, written by by James A. Middleton and Amanda Jansen, yields insights for educators looking for ways to engage students in learning mathematics.
Mathematical Modeling: Part 1 Of Series, Catherine Martin
Mathematical Modeling: Part 1 Of Series, Catherine Martin
Colorado Mathematics Teacher
The Guidelines for Assessment and Instruction in Mathematical Modeling Education (GAIMME), released in April 2016, provides specific guidance and support to teachers as they incorporate the practice of mathematical modeling into classroom instruction.
Arcs: Activities With Rigor And Coherence, Janet Oien
Arcs: Activities With Rigor And Coherence, Janet Oien
Colorado Mathematics Teacher
ARCs are Activities with Rigor and Coherence. They integrate a wide array of resources from the National Council of Teachers of Mathematics to optimize opportunities for learning.
How I See Addition Facts, Jason Zimba
How I See Addition Facts, Jason Zimba
Colorado Mathematics Teacher
At a "Saturday School," work with flashcards is customized to a student’s current state of mastery.
Procedural Fluency, Sandie Gilliam
Procedural Fluency, Sandie Gilliam
Colorado Mathematics Teacher
This article presents main points from Diane Briars’ session, Supporting Teachers in Building Procedural Fluency from Conceptual Understanding, presented at the 2016 Annual Conference of the National Council of Supervisors of Mathematics.
Committing To Equity: Going Beyond Teaching Mathematics, Nora Ramirez
Committing To Equity: Going Beyond Teaching Mathematics, Nora Ramirez
Colorado Mathematics Teacher
There are many actions that can impact the goal of achieving equity in—and access to—school mathematics. A few actions are presented, some not often addressed, because one might not think them directly related to the teaching and learning of mathematics.
Math Discourse, Joanie Funderburk
Math Discourse, Joanie Funderburk
Colorado Mathematics Teacher
Meaningful mathematical discourse can serve to build shared understanding of mathematical ideas.
From The Editor's Desk, Sandie Gilliam
From The Editor's Desk, Sandie Gilliam
Colorado Mathematics Teacher
The Colorado Mathematics Teacher received the 2016 Publication Award for best newsletter from the National Council of Teachers of Mathematics.
Connecting Algebra To Geometry: A Transition Summer Camp For At-Risk Students, Mary E. Pilgrim, John Bloemker
Connecting Algebra To Geometry: A Transition Summer Camp For At-Risk Students, Mary E. Pilgrim, John Bloemker
Colorado Mathematics Teacher
The authors share how they designed curriculum for a summer algebra camp, for eighth graders in a district serving high proportions of Latino students. They discuss the impact the algebra camp had on students’ confidence in mathematics and mathematical ability.
Nctm 2015 Summer High School Institute, Jennifer Perego, Mary E. Pilgrim
Nctm 2015 Summer High School Institute, Jennifer Perego, Mary E. Pilgrim
Colorado Mathematics Teacher
NCTM’s 2015 High School Interactive Institute engaged teachers in learning opportunities to promote effective mathematics teaching. Through keynote speeches, interactive workshops, and facilitated task discussion groups, teachers reflected on current and best practices, participated in classroom-ready lessons, and collaborate with other educators.
Book Review Of Mathematical Mindsets, Leigh Ann Kudloff
Book Review Of Mathematical Mindsets, Leigh Ann Kudloff
Colorado Mathematics Teacher
This book review of Jo Boaler's Mathematical Mindsets yields insight into how teachers can build their students’ mindsets to improve math achievement.
Why Zombies Love Me: Shifting Mathematical Mindsets, Stephanie Hammes
Why Zombies Love Me: Shifting Mathematical Mindsets, Stephanie Hammes
Colorado Mathematics Teacher
An elementary teacher shares how a year of mindset lessons and messages impacted students’ mathematics experiences.
President's Message, Joanie Funderburk
President's Message, Joanie Funderburk
Colorado Mathematics Teacher
Avoid temptation to keep students from experiencing struggle. Promote students’ productive struggle, by providing rich tasks and problems for students to engage with, anticipating student difficulties, and planning questions and supports.
From The Editor's Desk, Sandie Gilliam
From The Editor's Desk, Sandie Gilliam
Colorado Mathematics Teacher
Reflect on the 2015-2016 school year and plan for the summer.
Review Of Mathematical Imagining: A Routine For Secondary Classrooms By Christof Weber, Geoff Krall
Review Of Mathematical Imagining: A Routine For Secondary Classrooms By Christof Weber, Geoff Krall
Colorado Mathematics Teacher
This book review of Christof Weber's Mathematical Imagining yields insight into the routine of mathematical imagining and offers practitioners advice on how to incorporate the routine in the classroom. A brief summary of the book is provided, followed by commentary on potential benefits of mathematical imagining, connection to other research, and suggestions for accommodating for emergent bilingual students. Readers are encouraged to follow up with a reading of the original book.
Virtual Manipulatives: Making Effective Instructional Choices, Katie L. Anderson-Pence
Virtual Manipulatives: Making Effective Instructional Choices, Katie L. Anderson-Pence
Colorado Mathematics Teacher
This article gives three tips for the effective use of virtual manipulatives in mathematics instruction to promote active engagement and student learning: (1) match the virtual manipulative to the learning target; (2) determine the task to pose to students; and (3) encourage discourse.
The Curriculum Review Process: A Powerful Learning Opportunity, Laura Neuberg, Juli Lenzotti
The Curriculum Review Process: A Powerful Learning Opportunity, Laura Neuberg, Juli Lenzotti
Colorado Mathematics Teacher
We describe the value and learnings that came from participating in a curriculum review and adoption process.
Developing Purposeful Questions And Analyzing Student Reasoning: Two Tools, Frederick Peck, Jessica Alzen, Derek Briggs, Raymond Johnson
Developing Purposeful Questions And Analyzing Student Reasoning: Two Tools, Frederick Peck, Jessica Alzen, Derek Briggs, Raymond Johnson
Colorado Mathematics Teacher
We introduce two tools to help teachers develop purposeful questions and collaboratively analyze student reasoning.
Formative Assessment: What We Don't Learn From "Just Answers", Shelby K. Cole
Formative Assessment: What We Don't Learn From "Just Answers", Shelby K. Cole
Colorado Mathematics Teacher
High stakes summative assessments include questions that are proxies of expectations outlined in standards as evidence of students’ proficiency in mathematics. While these proxies can provide valuable snapshots of student learning, this does not always neatly translate to classrooms in support of formative assessment.
Formative Assessments: You Have Options, Shelly Ray Parsons
Formative Assessments: You Have Options, Shelly Ray Parsons
Colorado Mathematics Teacher
Formative assessment provides powerful opportunities to enhance and improve classroom experiences. Educators have the ability to empower students every day in the classroom through active learning opportunities using formative assessment strategies.
President's Message, Joanie Funderburk
President's Message, Joanie Funderburk
Colorado Mathematics Teacher
Assessment refers to more than just high-stakes tests. Teachers assess students every time they ask a question, have students share work on the board, review a homework assignment, or solicit student questions during a lesson.
From The Editor's Desk: Stepping Back And Looking Forward, Sandie Gilliam
From The Editor's Desk: Stepping Back And Looking Forward, Sandie Gilliam
Colorado Mathematics Teacher
A look at what’s ahead for the Colorado Math Teacher in 2016.
Book Review Of The Impact Of Identity In K-8 Mathematics: Rethinking Equity-Based Practices, Catherine Martin
Book Review Of The Impact Of Identity In K-8 Mathematics: Rethinking Equity-Based Practices, Catherine Martin
Colorado Mathematics Teacher
Aguirre, Mayfield-Ingram, and Martin have written this book to engage teachers in conversations about and reflection on their own and their students' mathematical identities. While classroom examples focus on grades K-8, the book discusses teacher reflection and practice around issues of equity for grades K-12.
The Seesaw App: Providing Differentiated Assessment Opportunities, Tessa Ziser
The Seesaw App: Providing Differentiated Assessment Opportunities, Tessa Ziser
Colorado Mathematics Teacher
I discovered the Seesaw app, which allows students to create drawings, videos, and pictures that become part of an online portfolio. Although it is not THE answer to assessment, it has become one of my (and my students’) favorites.
Resisting Student Labeling In This Era Of Testing, Richard Kitchen, Michelle Garcia-Olp, Jacklyn Van Ooyik
Resisting Student Labeling In This Era Of Testing, Richard Kitchen, Michelle Garcia-Olp, Jacklyn Van Ooyik
Colorado Mathematics Teacher
We examined perspectives that prospective elementary teachers (PTs) noticed their mentor teachers held with regards to classifying students by achievement or behavior. Many PTs noticed deficit mathematical discourse and expressed concern about how that could lead students to develop negative views of themselves.
Letting Go, Kevin Junod
Letting Go, Kevin Junod
Colorado Mathematics Teacher
Change perspectives and methods to make mathematics instruction more problem based.
Adapting A Number Sense Task To Learn More About K-5 Student Reasoning, Jody Guarino, Chepina Rumsey, Jennie Beltramini, Angie Miller, Kristin Gray, Shelbi Cole
Adapting A Number Sense Task To Learn More About K-5 Student Reasoning, Jody Guarino, Chepina Rumsey, Jennie Beltramini, Angie Miller, Kristin Gray, Shelbi Cole
Colorado Mathematics Teacher
Look deeper into how 5th grade students think through a task by examining standards from earlier grades.