This course is taught by Professor Kara Morton. The first in a sequence designed for prospective early childhood and elementary teachers. The course focuses on the PreK-8 vertical progression of content and skill development around number and operation. Mathematical topics include numeration systems, algorithms and estimation for the arithmetic operations, basic number theory, fractions and decimals, and patterns and sequences. Use of manipulatives and relevant technology may be integrated into the course.
Access to TumbleMath database can be obtained by getting an eCard from the Boston Public Library. Access is limited to Massachusetts residents only. Get your BPL eCard here and log in to TumbleMath to access many elementary math book online.
Number Sense Routines
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Math Fact Fluency
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Learning Mathematics Successfully
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The Narrative of Mathematics Teachers
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QA135.6 Elementary Mathematics
Anno's Math Games
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Math Educator Resources
Standards for Mathematical Practice — Pre-K–2
This guide highlights the eight Standards for Mathematical Practice in the Massachusetts Curriculum Framework and provides examples for students in pre-K through 2nd grade.
Standards for Mathematical Practice — Grades 3–5
This guide highlights the eight Standards for Mathematical Practice in the Massachusetts Curriculum Framework and provides examples for students in 3rd through 5th grade.
Standard Algorithms for Addition and Subtraction
This guide addresses the progression of standards related to developing a conceptual understanding of the standard algorithms for addition and subtraction, provides examples of addition and subtraction strategies and algorithms, and shows how students' progress toward the standard algorithms.
Common Addition and Subtraction Situations
This guide highlights Mathematical Properties, Rules, and Number Sets while providing real-world context and understanding of addition and subtraction problems.
Standard Algorithms for Multiplication and Division
This guide addresses the progression of standards related to developing a conceptual understanding of the standard algorithms for multiplication and division, provides examples of multiplication and division strategies and algorithms and shows how students' progress toward the standard algorithms.
Common Multiplication and Division Situations
This guide highlights Mathematical Properties, Rules, and Number Sets while providing real-world context and understanding of multiplication and division problems.
Fractions Learning Progression in Grades 3–5
This guide summarizes the progression of standards related to fractions in the Massachusetts Curriculum Framework for Mathematics from grade 3 to 5.
