BLACKBOARD PRESENTATION

The Building Blocks of Math

Kimberly KrauseGrand Canyon University EDU 585: Designing Professional Development Heather Hamtil October 2, 2024

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What is the New Mathematical Framework?

The new mathematical framework is a set of guidelines or standards that outline the skills and behaviors of practical mathematicians. This framework provides strategies to enhance math learning across all students (Mazzeo et al., 2024). It provides a blueprint for teaching math, emphasizing critical thinking, problem-solving, and communication.

Presenter notes: The new framework out since 2023 serves as a set of guildlines or standards that outline the essential skills.

Effective Learning

Purpose of new Framework

Collaboration

The framework can encourage collaborative learning, where students work together to solve problems and share their insights.

The framework helps students deeply understand mathematical concepts beyond rote memorization.

Recently, California has recognized the need to develop new approaches for enhancing math education (California Department of Education, 2013).

Critical Thinking

The framework encourages students to analyze information, evaluate arguments, and make informed decisions by promoting critical thinking.

Presenter notes: The new framework comprises guidelines for effective learning, critical thinking, and collaboration.

Ways to impliment in the classroom

Cognitive Guided Instruction

CGI is an instructional method that aligns with contemporary educational frameworks by emphasizing student comprehension, problem-based learning, teacher facilitation, differentiated instruction, and mathematical discourse. It is a way to honor children's thinking(Carpenter et al., 2015)

Presenter notes: CGI is a method for improving understanding of math, enhancing problem-solving skills, and developing communication abilities.

Ways to impliment in the classroom

counting Collections

Counting collections is an organized activity in which children practice counting objects. They can use various strategies, such as counting one by one or skip counting. After counting, they write down the method they used. While the students work, the teacher observes their strategies, assists them in solving problems, and highlights effective approaches (Quan, 2024).

"Students in CGI classrooms...Learn to see themselves capable; they know they can figure out how to solve problems, even problems that may be challenging at first." - Children's Mathematics

Presenter notes: Counting collections is one tool to help meet a variety of the framework standards

Ways to implement in the classroom

Dot Talks

Notice and Wonder

Notice and Wonder is a teaching strategy that encourages students to actively engage with a text, image, or object by noticing details and then wondering about their significance(Freitas, 2022).

A Dot Talk is a concise, visual presentation of a mathematical concept or problem. It often uses a single image or diagram to convey a complex idea or solution.

Presenter notes: Dot talks and notice and wonder are ways to open ended activities(Freitas, 2022).

Counting Collection Resources

Crayola Products

Paper Copies

Bears

Students can utilize the math manipulatives that have been provided as district-wide supplies to begin implementing them in their classrooms.

Educators can collect basic materials to initiate their collection counting process.

Educators can obtain images of items and print them on paper for students to analyze and determine quantity.

Presenter notes: Using supplies in your classroom or prining pictures can help support running an effective lesson on counting collections.

Cgi classroom Resources

Cognitive Guided Instruction (CGI) is an instructional approach that employs real-world problems to facilitate the development of students' mathematical reasoning (Garrison, 2023). Valuable resources include reference sheets for mathematical strategies and CGI-related problems. The book "Children's Mathematics, Second Edition: CGI" serves as an excellent resource for educators seeking to comprehend CGI and integrate these competencies into their teaching practices.

Presenter notes: CGI is one way to support the new framework by providing students with ways to solve real-world probems by using a variety of strategies.

Dot Talks Classroom Resources

Dot Talk Student cards

Educators can utilize these dot-talk examples to enhance students' mathematical reasoning, communication skills, and problem-solving capabilities. Employing dot talks fosters diverse thinking and encourages multiple approaches. This may involve problems with various numerical solutions or tasks that permit a range of creative interpretations (Quan, 2024).

Presenter notes: Dot Talks provide an engaging platform for students to collaborate and discuss their understanding of mathematical concepts while aligning with the mathematical framework.

Notice and WOnder Resources

Kindergarten

First/SecondGrade

Third Grade

Fourth/Fifth Grade

Presenter notes: Notice and wonder activities are a great way to promote engagement and show that everyones ideas are valuable(Freitas, 2022).

Follow Up Plan

As part of the professional development on the new framework, it's important to incorporate opportunities for teachers to practice new strategies, receive ongoing support, and reflect on their learning. Here are some ideas: - Collaborative planning sessions - Coaching and mentoring - Access to online resources and communities

References

California Department of Education. (2013). Mathematics Framework-Mathematics(CA Dept of Education). Ca.gov.https://www.cde.ca.gov/ci/ma/cf/ Carpenter, T.P., Fennema,E. Megan Loaf Franke, Levi, L., & Empson, S.B. (2015). Children's mathmatics: cognitively guided instruction. Heinemann Garrison, S. (2023, April 13). How to use students' prior knowledge to build math skills. Edutopia. https://www.edutopia.org/article/using-students-prior-knowledge-build-math-skills Freitas, C. (2022, May 12). How to Develop an Effective Math Intervention Program. Edutopia. https://www.edutopia.org/article/how-develop-effective-math-intervention-program Mazzeo, R., Conrad, B., Boaler, J., Ford, B.,& Nelson, J.(2024). Three views on California Math Framework. Notices of the Mathematical Society, 71(06),1.https://doi.org/10.1090/1090/noti2957 Quan, V. (2024, August 22). 3 Math Tasks You Already Use That Can Foster Collaboration. Edutopia; George Lucas Educational Foundation. https://www.edutopia.org/article/collaborative-math-tasks-elementary-school

New Math

Let the communication flow!

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