Mathematics

*Suggestion: The times listed next to activities are approximate. Each activity could take more or less time. This module should not be complete in a single sitting.

 

OVERVIEW

  1. View the Mathematics PowerPoint Presentation for an overview of this module and key ideas related to teaching mathematics to young children.

    ( 5 min.)

CALIFORNIA CONTEXT/STANDARDS

  1. Read the California Preschool Curriculum Framework Volume 1

    Focus on pages 231-295. You can use a note-taking guide to organize your thoughts (see PowerPoint Slide 5 for example) regarding the following questions: How is the document organized?
  • What age groups are addressed?
  • What effective teaching strategies are discussed (if any)?
  • What are the main areas covered?
  • Is the role of play discussed? What is the role of “play” in this work?

    You may have discussed the role of play in learning in your courses. Find more information here.

    (20 min.)
  1. Read the Kindergarten Common Core State Standards (CCSS) for mathematics online Focus on pages 6-9. Continue to use a note-taking guide to organize your thoughts regarding the following questions:
  • How is the document organized?
  • What age groups are addressed?
  • What effective teaching strategies are discussed (if any)?
  • What are the main areas covered?
  • Is the role of play discussed? What is the role of “play” in this work?

    You may have discussed the role of play in learning in your courses. For additional information, visit NAEYC.org.

    (20 min.)
  1. Access the California Department of Education’s document: The Alignment of the California Preschool Learning Foundations with Key Early Education Resources

    Focus on pages 68-93. When reading, notice how the Preschool Foundations align with the CCSS. Use examples from the document when you respond the questions below.
  • Based on your own review of the Preschool Curriculum Framework and the Kindergarten CCSS as well as this document, what are the common elements?
  • Print table 1.9 for a reference or create your own table that clearly indicates what the framework and standards in sections 2 and 3 have in common.

    (30 min)

UNDERSTANDING MATHEMATICS INSTRUCTION FOR YOUNG CHILDREN

  1. In preparation for number 7 below, complete the following: Review the teacher’s role and effective teaching strategies from your notes from numbers 2-4 above.

    Review the role of the teacher and effective teaching strategies found on TK California

    (15 min.)
     
  2. Math instructions in TK Classrooms
  • Observe a math lesson in a TK classroom.

    OR
     
  • The TK California website includes valuable resources on the teaching of young children. Select one video of mathematics instruction in a TK classroom. (Each video is less than 20 minutes long.) 

For Options A and B, use the questions below to guide your observation and record any additional insights and questions that you have. You will draw upon your notes to prepare a post for the Discussion Forum.

Guiding Questions

  • What standard (s) was addressed? Identify the source of the standard.
  • What effective teaching strategies did you observe?
  • Are there any barriers preventing all students from participating (room environment, manipulatives, language)? How could they be overcome?
  • How could technology be integrated into this lesson?
  • How is “play” integrated in to the lessons?

Discussion Forum Post: Video Analysis

  • Discuss one effective teaching strategy (#2 above) that you observed in the lesson. How did it facilitate learning for young children?
  • Discuss how “play” was integrated into the lesson (#5 above).
  • Post a response to a peer.

    (40 min)

INTEGRATION ACROSS THE CURRICULUM

  1. Integration is an important concept in TK-8 classrooms. The following activities will support your thinking about curriculum integration and the integration of social-emotional development in mathematics. Curriculum integration is an important concept in TK-8 classrooms. One example is geometry: We can talk about shapes in art. We can talk about shapes of building in the community and shapes in the classroom.

    Consider how math can be integrated across the curriculum. Think about your classroom or video observation and your review of the standards. Post or be prepared to discuss two specific ideas for integrating math with at least one other subject area

    Social-emotional development includes self-regulating behaviors, emotions and thinking.

    Think about your classroom or video observation and your review of the standards. Post or be prepared to discuss two specific ways a teacher can support social-emotional development through mathematics instruction.

    More information on social-emotional development

    (30 min)

REFLECTION

  1. After completing the activities above, take a few minutes to reflect on your learning. Select a concept or activity from the module that is of greatest interest to you at this time. Be prepared to explain the concept or activity and how it could impact your teaching. Share your thoughts in class or by posting your comments.

    (15 min.)
     
  2. Think about what you have learned in this module. Think about the TK-8 continuum in terms of curriculum and strategies. Post or discuss your thoughts on whether the strategies that you have learned would be effective in most TK-8 classrooms. Why or why not? Be specific.

    (15 min.)

EXTENSIONS

Review the Table 1.9 (pages 75-81) found in (from section 4 above). Note the benchmarks set for each area based on page.

Approximate Total Time: 3 - 4 hours