PaGE: Mathematics Education (X.MTHED)

X.MTHED-404 Effective Practices for Advancing the Teaching and Learning of Mathematics

Spring. Credits: 2

The National Council of Teachers of Mathematics identified eight practices for effective teaching of mathematics and teacher leaders from around the country have been working to develop innovative ways to implement these practices in K-12 classrooms. Each live online session will explore a different practice in depth with one of the teacher leaders that designed it. Participants will then work to implement the practice in their own classrooms and analyze how it affects student learning. The live sessions will involve working through mathematical tasks, analyzing student thinking and effective instructional methodologies, and engaging in discussions with colleagues from around the country.

Applies to requirement(s): Meets No Distribution Requirement
M. Flynn
Restrictions: This course is offered for graduate students only.

X.MTHED-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.MTHED-408 Educational Leadership I: Coaching and Mentoring

Credits: 2

This course is designed for elementary math specialists with responsibilities for supporting teachers in the development of strong mathematics education programs. Participants explore issues related to: learning mathematics while in the context of teaching; facilitating the professional development of colleagues; teachers' and students' ideas about mathematics and learning; and fostering a stance of collaborative investigation. By way of a central theme of mathematics learning, the institute will offer coaches opportunities to explore, through the coaching perspective, ideas of number and geometry in the elementary grades.

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

X.MTHED-410 Educational Leadership II: Facilitating Professional Development

Credits: 2

This institute focuses on learning to teach one of the Developmental Mathematical Ideas (DMI) modules. Participants will choose a particular DMI module on which to concentrate their facilitation work. The institute will include examination of the central mathematical ideas of the module, identifying key goals for each session, discussion of the process of interacting with participants both in the institute sessions and through written responses, as well as opportunities for practice facilitation.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Advisory: Prior experience with a DMI seminar recommended.

X.MTHED-412 Mathematics Coaching: Designing Effective Professional Development

Spring. Credits: 3

This course provides opportunities for math specialists/coaches of grades K-8 to design, develop, critique, implement, give, and receive feedback on mathematics professional development experiences that align with the Common Core standards and the particular needs of the school/district's participating staff. Topics include staying focused on mathematics while developing collaborative relationships, communicating with teachers and administrators, developing leadership skills, and continuing to be a learner. Emphasis will be placed on learning how to move a school and/or district toward their mathematics goals by providing both support and press for teachers who teach mathematics.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Advisory: Prior experience with a DMI seminar recommended.

X.MTHED-422 Research on Learning: Implementing the Common Core Math Practice Standards

Credits: 2

This course is focused on implementing mathematics instruction to support the development of conceptual understandings of mathematics. Topics include creating a classroom climate for productive mathematics discussion, posing open-ended math tasks, asking probing questions, and exploring teacher moves that both challenge and support individual student learning. Analyzing classroom cases of practice will be a key feature.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Advisory: Prior experience with a DMI seminar recommended.

X.MTHED-460 Connecting Arithmetic/Algebra Leadership

Not Scheduled for This Year. Credits: 1

Connecting Arithmetic to Algebra (CAA) is a 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
The department
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Coreq: X.MATH-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.MTHED-462 Fostering Algebraic Reasoning

Fall and Spring. Credits: 1

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.

X.MTHED-465 Action Research on Learning and Teaching

Spring. Credits: 2

This course will include action research on the mathematics learning of students and pedagogical moves of teachers. Participants will produce written cases of practice based on audio or videotaped classroom discussions and interviews with their own students. Participants will analyze their own cases and those of their colleagues to examine the learning of students and the impact of teacher moves. Course instructors will also provide individual feedback based on the classroom cases.

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

X.MTHED-466 Action Research on Coaching and Mentoring

Spring. Credits: 2

This course will include action research on the impact of mathematics coaching or mentoring. Through a practicum experience each participant will engage with a colleague or group of colleagues, taking on a coaching role. These coaching or mentoring activities will be analyzed and shared with other course participants.Participants will produce written cases of math coaching practice based on audio or videotaped math coaching or mentoring sessions. Participants will analyze their own cases and those of their colleagues to examine the impact of coaching moves. Course instructors will also provide individual feedback on the coaching cases.

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable, M. Flynn
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Advisory: X.MATH-408 is recommended but not required.
Notes: Online.

X.MTHED-472 Research Into Classroom Routines

Not Scheduled for This Year. Credits: 2

Applies to requirement(s): Meets No Distribution Requirement
V. Bastable
Restrictions: This course is limited to Mount Holyoke MTHTE.MAT students only
Prereq: X.MATH-460.