Papers by Jennifer Bay-williams
Mathematics Teaching in the Middle School, Mar 1, 2005
If you have been attempting to implement the NCTM's Process Standards (Problem So... more If you have been attempting to implement the NCTM's Process Standards (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections), then you likely have been posing rich problems for students to solve. As students encounter difficulties, you try to ask questions to guide their thinking, without taking away the challenge of the task. This major shift away from telling students how to solve the problem and having them practice a standard way, however, can result in students reporting to their families that you will not help them in mathematics class.
Teaching children mathematics, 2007
Journal of Educational Research, 2007
... JENNIFER M. BAY-WILLIAMS MICHAEL B. SCOTT MELISA HANCOCK ... National reports, such as “Addin... more ... JENNIFER M. BAY-WILLIAMS MICHAEL B. SCOTT MELISA HANCOCK ... National reports, such as “Adding it Up” (Kilpatrick, Swafford, & Findell, 2001), “How People Learn” (Brans-ford, Brown, & Cocking, 1999), and “Principles and Stan-dards for School Mathematics” (NCTM ...
Teaching children mathematics, Dec 1, 2001
<jats:p>Patterns have long been part of early mathematics experiences. The K–4 Patterns and... more <jats:p>Patterns have long been part of early mathematics experiences. The K–4 Patterns and Relationships Standard in Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) was replaced in Principles and Standards for School Mathematics (NCTM 2000) with a K–12 Algebra Standard. This Standard encompasses patterns, functions, and some topics that are beyond what traditionally was considered to be algebra. However, the word algebra, often associated with content covered in a traditional middle school or high school course, can evoke feelings of anxiety and raise questions of appropriateness when discussed in relation to elementary school children. What is algebra in elementary school if it is more than identifying and extending patterns in the early grades yet is not the abstract content of an algebra course?</jats:p>
Mathematics Teacher: Learning and Teaching PK–12, Aug 1, 2023
Mathematics Teacher: Learning and Teaching PK–12, Feb 1, 2020
Contemporary Issues in Technology and Teacher Education Journal, 2008
Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention
Teaching children mathematics, May 1, 2015
Mathematics Teaching in the Middle School, Sep 1, 2013
Being mindful of language used during discussions of fractions can promote greater understanding ... more Being mindful of language used during discussions of fractions can promote greater understanding and retention.
Teaching children mathematics, 2017
Teaching children mathematics, Nov 1, 2009
Thomas B. Fordham Institute, Jun 1, 2016
What is the relationship between addition and subtraction? How do you know whether an algorithm w... more What is the relationship between addition and subtraction? How do you know whether an algorithm will always work? Can you explain why order matters in subraction but not in addition or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organised around two big ideas and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining an understanding about addition and subtraction is essential as they are the foundation for students' later learning of multiplication and division. Essential Understanding Series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12
Mathematics Teaching in the Middle School, Feb 1, 2012
Budgeting credit card debt and calculating college costs provide real-world mathematical contexts.
Mathematics Teaching in the Middle School, Apr 1, 2005
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Papers by Jennifer Bay-williams