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  • The Area Model for Multiplication

    These problems have arithmetic as an entry point and highlight the distributive property—but they also include something mysterious.

    Geometry Using the Game of Set

    The game of Set has been around for a long time. This activity brings to mind several questions that all lead to set theory and combinatorics.

    Finding New Problems in Old Places
    A function table, familiar and useful to teachers, focuses fresh attention on definitions and domain.
    Arithmetic, Meet Algebra
    Arithmetic can lead to an understanding of a beautiful algebraic idea.
    Fraction Problems

    Wrestling with some interesting problems may help students’ fluency with fractions.

    Painted Faces and Probability
    With wooden cubes as manipulatives, I create problems related to pattern recognition and probability.
    Beyond Objectives: Access and Equity

    Marjan Hong explores questions about teachers’ transition to a dynamic inquiry-based learning environment and how to prepare beyond-objectives lessons.

    Beyond Objectives: High School Reality

    Marjan Hong explores questions about teachers’ transition to a dynamic inquiry-based learning environment and how to prepare beyond-objectives lessons.

    Beyond Objectives: Preparation

    Marjan Hong explores questions about teachers’ transition to a dynamic inquiry-based learning environment and how to prepare beyond-objectives lessons.

    Beyond Objectives

    As teachers with thirty to forty students from diverse backgrounds and varied mathematical experiences, is it possible to effortlessly and successfully transition to a dynamic inquiry-based learning environment in our classrooms? Marjan Hong explores these questions and considers what beyond-objectives lessons might look like.  

    Aspects of Problem-Based Teaching: Student Conversations

    Problem-based learning (PBL) speaks to many of the practice standards and recommended teaching practices, but is not as easy as it sounds. Schettino’s fourth posting looks at student conversations.

    Aspects of Problem-Based Teaching: Assessment

    Problem-based learning speaks to many of the practice standards and recommended teaching practices, but is not as easy as it sounds. Schettino’s third posting looks at assessment.

    Taking Risks—for Learning’s Sake

    By Kasi Allen, posted March 28, 2016 — Creativity requires risk

    Grading Homework for Accuracy or Completion? Yes!
    This system is a solution to the common dilemma of how to grade homework: for completion or accuracy.
    Blog Post 3: Collecting Daily Grades and Feedback with Google Forms

    Do you spend too much time gathering, entering, and sharing homework grades? Would you like an easy way to see which homework problems were confusing to your students and gather their questions? My solution? Google forms!

    Unconventional Quizzes that Liven Up My Classroom

    Math quizzes can be engaging, affirming, and even fun! These quizzes are collaborative (group work), formative (identifies what still needs work), or full information (students have complete prior knowledge of the questions). These quizzes can boost self-confidence, reward persistence, and encourage a growth mindset.

    Aspects of Problem-Based Teaching: the Need for Community

    Problem-based learning speaks to many of the practice standards and recommended teaching practices, but is not as easy as it sounds. Schettino’s second posting looks at teachers’ need for community.

    Aspects of Problem-Based Teaching

    Problem-based learning speaks to many of the practice standards and recommended teaching practices, but it is not as easy as it sounds.

    The Queen’s Reward: Cannonballs and Quadratics

    If you drop a cannonball into a deep cavern and hear a splash 6 seconds later, how deep is the cavern? If you’re looking for a fun change of pace from your textbook, challenge your class to outwit the Queen’s chief advisors and help the young mathematician win the Queen’s Reward.

    10,000 Kicks: Practice in the Mathematics Classroom

    I teach math, and I give my students worksheets. In a way, it feels like confessing a sin to say it. Modern edu-culture frowns on the worksheet for its inability to engage students and its inauthentic, out-of-context existence. And yet, teachers I know give their students worksheets. Why? I point to three reasons.

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