PaGE: Mathematics (X.MATH)

X.MATH-400 Developing Mathematical Ideas: Building a System of Tens

Credits: 2

Participants will explore the base-ten structure of the number system, consider how that structure is exploited in multi-digit computational procedures, and examine how basic concepts of whole numbers reappear when working with decimals. They will study the various ways children naturally tend to think about separating and combining numbers and what children must understand in order to work with numbers in these ways.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, S. Bent, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only

X.MATH-401 Developing Mathematical Ideas: Making Meaning for Operations

Spring. Credits: 2

This course provides opportunities for participants to examine the actions and situations modeled by the four basic operations. The course will begin with a view of young children's counting strategies as they encounter word problems, moves to an examination of the four basic operations on whole numbers, and revisits the operations in the context of rational numbers.

Applies to requirement(s): Meets No Distribution Requirement
M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only

X.MATH-402 Developing Mathematical Ideas: Examining Features of Shape

Credits: 2

Participants examine aspects of two-dimensional and three-dimensional shapes, develop geometric vocabulary, and explore both definitions and properties of geometric objects. The seminar includes a study of angle, similarity, congruence, and the relationships between three-dimensional objects and their two-dimensional representations. Participants examine how students develop these concepts through analyzing print and video cases as well as reading and discussing research articles.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Instructor permission required.
Notes: Section 01 for MAMT students. Section 02 for non-matriculated students. Half semester.

X.MATH-404 Developing Mathematical Ideas: Working With Data

Credits: 2

Participants will work with the collection, representation, description, and interpretation of data. They will learn what various graphs and statistical measures show about features of the data, study how to summarize data when comparing groups, and consider whether the data provides insight into the questions that led to data collection.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Riddle
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only

X.MATH-405 Developing Mathematical Ideas: Measuring Space in One, Two, and Three Dimensions

Credits: 2

Participants will examine different aspects of size, develop facility in composing and decomposing shapes, and apply these skills to make sense of formulas for area and volume. They will also explore conceptual issues of length, area, and volume, as well as their complex interrelationships.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn, A. O'Reilly, S. Smith
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Notes: Section 01 for MAMT students. Section 02 for non-matriculated students. Half semester.

X.MATH-406 Developing Mathematical Ideas: Patterns, Functions, and Change

Not Scheduled for This Year. Credits: 2

Participants discover how the study of repeating patterns and number sequences can lead to ideas of functions, learn how to read tables and graphs to interpret phenomena of change, and use algebraic notation to write function rules. With a particular emphasis on linear functions, participants also explore quadratic and exponential functions and examine how various features of a function are seen in graphs,tables, or rules. Participants examine how students develop these concepts through analyzing print and video cases as well as reading and discussing research articles.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Instructor permission required.

X.MATH-407 Reasoning Algebraically About Operations

Not Scheduled for This Year. Credits: 1

Participants examine generalizations at the heart of the study of operations in the elementary grades. They express these generalizations in common language and in algebraic notation, develop arguments based on representations of the operations, study what it means to prove a generalization, and extend their generalizations and arguments when the domain under consideration expands from whole numbers to integers.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Instructor permission required.

X.MATH-460 Connecting Arithmetic to Algebra

Not Scheduled for This Year. Credits: 3

Connecting Arithmetic to Algebra (CAA) is a year-long professional development experience in which teachers consider generalizations that arise from the study of number and operations in grades 1 through 7. They examine cases of students who are engaged in the process of articulating general claims, working to understand those claims, and learning how to prove them. The course also focuses on how this approach to mathematical thinking supports a range of mathematics learners, including those who have difficulty with grade-level mathematics and those who need additional challenge.

Applies to requirement(s): Meets No Distribution Requirement
M. Flynn, The department
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Instructor permission required.
Coreq: X.MTHED-460.
Notes: This is a year-long online course. At the conclusion of the 2-semester sequence, final letter grades will be awarded for both segments of the sequence.

X.MATH-462 Fostering Algebraic Reasoning

Fall and Spring. Credits: 3

Enrolled students examine generalizations at the heart of the study of operations in the elementary grades. They express these generalizations in common language and in algebraic notation, develop arguments based on representations of the operations, study what it means to prove a generalization, and extend their generalizations and arguments when the domain under consideration expands from whole numbers to integers. In addition, they investigate the thinking of their own students working on similar ideas by recording and analyzing their own lessons and interviews with their students. Examination of the links between Common Core Math Practice Standards is also included.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is offered for graduate students only.
Notes: This is a year-long online course. At the conclusion of the 2-semester sequence, final letter grades will be awarded for both segments of the sequence.