COURSE SUMMARY: 


This course focuses on content and instructional expectations described in the Mathematics Framework for California Public Schools. A variety of strategies, instructional approaches, and assessment procedures will be emphasized in order to ensure the interns’ ability to develop, deliver, integrate, and regularly assess mathematics competencies. Practicum supervisors observe course content in practice to ensure that a strong connection exists between coursework and practice.




RATIONALE:


Graduates will develop an appreciation for mathematics and a robust skill set for transferring that appreciation of mathematics to the students, making mathematics accessible and comprehensible to all students, and effectively and equitably assessing student understanding of mathematics.




CORE LEARNING OUTCOMES (CLO):

  1. Graduates have expertise in developing relevant and rigorous curriculum. Graduates design systems for effective leadership in the classroom, campus, and educational community to ensure the success of all students.

  2. Graduates have expertise in the implementation of relevant and rigorous curriculum. Graduates implement systems for effective leadership in the classroom, campus, and educational community to ensure the success of all students. 

  3. Graduates sustain a practice of innovation and reform. 

  4. Graduates understand the power of research. They critically analyze and synthesize findings to support the development and implementation of rigorous and relevant curriculum and plans. Graduates develop and implement research to contribute to the wider body of knowledge as well as to reflect on and inform personal practice. 

  5. Graduates are collaborative, reflective practitioners who are committed to providing rigorous, relevant, and innovative educational experiences for all students. 

  6. Graduates have an understanding of the full range of service delivery options that their students might experience.




REQUIRED TEXTBOOK(S) and/or MATERIALS:


1.   Title: Elementary and Middle School Mathematics, Teaching Developmentally

Edition: 6th ed or newer

Author: John Van De Walle

Publisher: Pearson


2.   Supporting materials:

The California Framework for Mathematics (https://www.cde.ca.gov/ci/ma/cf/mathfwchapters.asp)

Electronic Device

Notebook

Pens/Pencils


STUDENT LEARNING OUTCOMES (SLO): Upon Completion of this course the student will:

  1. To become familiar with the California Mathematics framework and Common Core content standards. Presentations, interviews and conversations will help facilitate this goal.

  2. To develop an understanding of how to teach the concepts and relationships in mathematics conceptual knowledge .

  3. To develop teaching methods that promote understanding of the symbolism rules and procedures of mathematics procedural knowledge.

  4. To develop and practice appropriate strategies for Effective teaching of mathematics content.

  5. To develop a positive attitude toward the teaching of mathematics.

  6. To develop lesson plans and design a curricular unit built on what is learned in this course.

  7. To consider the appropriate curricular accommodations for special needs and ELD students. 

  8. To reflect critically on issues such as the impact of technology and how to integrate it effectively into your unit design.



POLICIES

Attendance and Tardy Policy

Students must sign in for each class session. Attendance is mandatory, and on-time attendance is expected at all scheduled class sessions. Any absence will cause you to miss a significant amount of the course. You are at risk of having to retake the course, regardless of points, if you do not meet the attendance standards. Failure to attend class or arriving late may impact your ability to achieve course objectives, which may affect your course grade and passage of the course. 

Professional Conduct

Students and Staff agree to treat one another with mutual trust and respect, promote the success of the individual and the group as a whole, and refrain from behavior that is disruptive, offensive or reflects bias of any kind. All members of this learning community agree to maintain personal and academic integrity including refraining from plagiarism.


Student Responsibilities and Expectations


  • Be an active listener and participant

  • Complete required readings and assignments 

  • Be prepared to participate in class discussions and activities

  • Self-monitor participation in group discussions, including using the Norms of Collaboration (pausing, paraphrasing, probing, putting ideas on the table, paying attention to self and others, presuming positive intentions, pursuing a balance between advocacy and inquiry)

  • Cell phones should be silenced during class.

  • Electronics will be used to access materials needed for course content only

  • Notify the instructor prior to class if you will be absent for any reason





METHODS / EVALUATIONS / GRADING PROCEDURES:


Participation and Discussion 

Discussion and participation are of utmost importance in your growth as well as the growth of your peers. Emphasis will be placed on your understanding of the readings and implications for your discipline.

 

Reflecting on Activities and Readings from the text with classroom sharing                                                          

Students are expected to come to class ready to discuss the ideas put forth in the readings for that week. Students should write what from their reading they feel is significant for discussion. Though students may wish to discuss a less significant detail, the focus should be on the main ideas the author is emphasizing. Students may bring questions, quotes, personal comments, as well as connections/disconnections between the ideas they read about and what they see in their field. Reading assignments will use a Jigsaw format. Each class has a reading assignment and reflection.

 

Model Lesson Plan (Begin Week 6) and Model Lesson Delivery (Weeks 8-10)                                                                                         

Students will be asked to prepare and teach a lesson to the class and write up the planning and execution of the lesson. The student will then present to the class the process followed, experiences, and what was learned during the process about the children and the instruction. 

Craft a one page pre-plan of the why, how and what of your lesson, focusing on the content of the assigned chapter from Van de Walle (Section II), how it pertains to your demographic of students, as well as the instructional strategies you plan to implement to our class of teachers.  Are the students mainstreamed and what strategies would be used to support access to core curriculum.  Include any pertinent background information ie: language status and acculturation of students.

Please think about the following when creating this lesson. The lesson should:

  • Exhibit an effort to make curriculum accessible to students with special needs through collaboration, co-teaching, and consultation with the instructional team.

  • Show familiarity with the mathematics framework and/or content standards.

  • Reflect the readings and ideas you are being asked to think about in this class as well as your other teacher education coursework.

Components for Model Lesson (things to include in the write-up):

  • Outline of the lesson (how it fits in the week long context)

  • Technology used if any

  • Before, During and After phases of the lesson

  • Assessment (pre and post) used

  • Student pages (copies of textbook OK)

  • One to two pages presenting the process you followed, your experiences, and what you learned during the process about your students and your teaching.

  • Lesson Plan (see outline below or what you use in your district)

Lesson Plan

Title:

Topic: The topic names or describes the subject under study such as number sense, fractions, and so forth.

Learning Goal(s)/Target(s) (Why are you doing this lesson?): This is a statement that identifies your learning goal for the students. What do you want students to know, understand, or be able to do at the end of the lesson? This could be a concept, a skill, or a number fact.

Language Objective/Goals:  How will the language needs be met for your English Language Learners?  What are your students’ language levels?

Common Core State Standard (CCSS): What standard will you be basing this lesson/task off of? How does the lesson align with the above-mentioned standard?

Materials: What equipment or materials are necessary for completion of this activity?

Procedure: Step by step procedures are described from introduction to closure with formative assessment strategies infused throughout.

Discussion: While the best discussions arise spontaneously from learners engaged in the experience, it is crucial that teachers anticipate and plan for further discussion and interaction through a series of well-designed questions. This section should provide questions that assist in the promotion of all levels of thinking including potential questions to which we may not know the answers.

Closure: How will you wrap up the activity? 

Reflection (Extremely important): When teachers ask questions of students, listen to responses, and probe for understanding, they are engaged in facilitating learning and evaluation. During the process of investigating kids’ understanding, teachers also develop the ability to question better. When teachers discover what students do not know or the misconceptions they have of the instructional material already “presented”, the sense of “we already did that, they should know it”, is suddenly questionable. While the discovery is sometimes discouraging, we are able to grow when we realize that teaching is not the same as ‘telling”. In considering self- and student-evaluation, include what evidence you would examine (product) and what kind of explanation would be appropriate.


Model Lesson Scoring Rubric

Major Focus

Components

Points

Planning and Execution of Lesson Document (1 page lesson write up)

  • Why, How, and What

  • Emphasis on instructional strategies implemented

  • Focus on how the chapter content pertains to the current demographic of students with special needs.

25

Access

  • Curriculum is accessible to students with special needs

Mathematics

  • Mathematics framework and standards connections

Lesson Plan

  • Topic

  • Learning Goals/Targets

  • Standards

  • Materials

  • Procedure

  • Discussion/Closure

  • Evaluation

15

 

Total

_____/40

Grading Scale and Description

Your grade in this course will be based on the following criteria:

Attendance/Participation (10)

5 pts/class = 50 points

Reading & Activity discussions/responses (6)

10 pts/response = 60 points

Model Lesson Plan (Weeks 7-8)

40 points

Model Lesson Delivery (Weeks 9-10)

50 points

Total = 

200 Points

Grades:  A= 90%-100%, B= 80%-89%, C= 70%-79%, D= 60%-69%, F= below 60%


Special Considerations Policy

Any student in this course who has a disability that prevents the fullest expression of his/her abilities should contact the instructor as soon as possible so that reasonable accommodations can be made.




DISABILITY STATEMENT:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities.  Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disability.  If you believe you have a disability requiring an accommodation please contact our office.  We are located at the Merced County Office of Education Complex, 632 W. 13th Street, Merced CA in Building H or call (209) 381-5976.



COURSE SCHEDULE

Week 1

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Introduction to the class (overview, assignments, expectations)

  • Explore CCSS-M: Framework (“Overview of the Standards”); see link here: https://www.cde.ca.gov/ci/ma/cf/mathfwchapters.asp 

  • Developing Operation Sense for Addition: Van de Walle, Chapter 9

  • Explore CCSS-M Framework: “Universal Access.” See link here: https://www.cde.ca.gov/ci/ma/cf/mathfwchapters.asp 

  • Reflection (PearDeck at end of class): Pg 666 of “Universal Access.” Prompt: Q1: How do you, as a teacher of students in MM/MS, realize the principles outlined in UDL (Universal Design for Learning)? Q2: What barriers you face, personally, to maximizing your energy on a proactive teaching model, such as UDL?

  • Homework before next week: Thoroughly read Van de Walle (chapter 9) and “Overview of the Standards” and prepared for an activity with these readings for Week 2 meeting.

CLO #4, 5

SLO #1


Week 2

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Desmos: Fraction Challenge (link)

  • Intro to Van de Walle Chapter 6: Building Assessment Into Instruction

  • Reflection (end of class)

  • Homework: Read Chapter 6 from Van de Walle: Building Assessment Into Instruction; Finish class reflection (week 2), if not done in class (due by Week 3 meeting)

CLO #3, 5

SLO #4, 5


Week 3

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Universal Design for Learning - Introduction (link)

  • Teaching Mathematics Equitably To All Children

  • Homework

    • Read Chapter 7 from Van de Walle: Teaching Mathematics Equitably to all children

    • Continue working on the Fraction Challenge

CLO #2

SLO #2


Week 4

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Desmos Fraction Task Discussions:

    • Discuss what you noticed/wondered, DOK level, balance of task, thinking made visible, etc.

    • Additional Tasks in Desmos for Focus, Coherence, Rigor, as well as student-student discourse

    • Stand-up, pair-up, share-out (How to incorporate with Tier 1, 2, and 3 interventions)

  • Front-load Week 4 reading: CA Framework - Instructional Strategies (https://www.cde.ca.gov/ci/ma/cf/mathfwchapters.asp)

  • Teaching through Problem Solving: The Three-Part Lesson Format (from Van de Walle Chapter 4)

    • This is a preview of a model lesson (Week 6)

  • Reflection and Discussion: “Instructional Strategies” CA Framework.

  • Homework: 

CLO #2, 3

SLO #2, 4, 5


Week 5

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Tools for the Before Phase of a lesson. Explore the following: 

  • Reading reflections from week 4 

  • CCSS Coherence Map: Achieve the Core and other CDE resources 

  • Week 6-7 Preparation

    • Model Lesson: We will do a Three-Part Model Lesson/Activity (Notice the Before, During, and After phases)

    • Assign Van de Walle Section II topics (for model lesson presentations)

    • Model Lesson delivery (Weeks 8-10)

  • Carousel: Teaching Through Problem-Solving

  • Read this article (link) and participate in whole-class reflection

CLO #2,3,5

SLO #1,4,5


Week 6

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Warm-up: Notice/Wonder

  • Review Model Lesson from Week 5

  • Interactive Teaching: why, how, what 

  • Van de Walle chapter assignments (Section II) and pairings

    • Lesson plan outline and rubric in syllabus

  • Activity/Homework: Lesson Pre-Plan (2-3 pages-- see Syllabus above)

CLO #2,3,5

SLO #1,4,5


Week 7

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  • Class Activity: Lesson Pre-Plan and Plan

    • Develop Pre-Plan (1-pager for Why, How, and What)

      • See Syllabus for clarified revisions

    • Develop 1-page Plan (Title, Topic, Learning Targets, CCSS, Materials, Procedure, Discussion, Closure, Reflection)

      • Focus on Procedure & Instructional Tools

  • Discuss Model Lesson Plan assignment

    • Schedule presentations for Week 9 and Week 10

  • Class Activity / Homework: Lesson Plan

    • Due at the end of class of Week 8 meeting

CLO #1,2,4,5

SLO #1,2,4,6,7


Week 8

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


  1. Model Lesson: Kyle Pearce Example

    1. Discuss the Three-Part lesson design

      1. Reference the syllabus Lesson Design (above)

  2. Class Activity: Finalize Lesson Designs 

  3. Homework: Rehearse Mini-Lesson (15 minute time limit)

    1. See Schedule for Weeks 9-10

CLO #1,2,4,5

SLO #1,2,4,6,7


Week 9

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


Lesson Presentations 

CLO #2, 3

SLO #4, 6


Week 10

Date

Topic, Activities, and/or

Assignments for Session

Alignment with

CLO & 

SLO


Lesson Presentations 

CLO #2, 3

SLO #4, 6




EXPECTATIONS AND STANDARDS:

SLO

Teacher Performance Expectations (TPE)

ISTE Standards  For Educators

Program Standards

Specialty Standards

  1. To become familiar with the California Mathematics framework and Common Core content standards. Presentations interviews and conversations will help facilitate this goal.

TPE #: 1, 2, 4, 6, 7

2a, 3c, 4b, 4c, 6a

PS 13

MM 5

MS 4

  1. To develop and understanding of how to teach the concepts and relationships in mathematics conceptual knowledge .

TPE #: 1, 2, 3, 4, 6, 7

5a,b,c

PS 13

MM 5

MS 4

  1. To develop teaching methods that promote understanding of the symbolism rules and procedures of mathematics procedural knowledge.

TPE #: 1, 2, 4, 5, 6, 7

5a,b,c

PS 13

MM 5

MS 4

  1. To develop and practice appropriate strategies for Effective teaching of mathematics content.

TPE #: 1, 2, 4, 5, 6, 7

5a,b,c

PS 13

MM 3

MS 4

  1. To develop a positive attitude toward the teaching of mathematics.

TPE #: 1, 4, 5, 6, 7, 9, 11

3a, 6a

PS 13

MM 3

MS 4

  1. To develop lesson plans and design a curricular unit built on what is learned in this course.

TPE #: 1, 2, 3, 4, 5, 6, 7, 9, 10

5a,b,c

PS 13

MM 3

MM 5

MS 4

  1. To consider the appropriate curricular accommodations for special needs and ELD students. 

TPE #: 1, 2, 4, 5, 6, 7, 9

5a,b,c

7a,b,c

PS 13

MM 3

MM 5

MS 4

  1. To reflect critically on issues such as the impact of technology and how to integrate it effectively into your unit design.

TPE #: 3, 4, 5, 10

5a,b,c

7a,b,c

2a,b,c

PS 13

MM 5

MS 4



Program Design Standards:

PS 1: Program Design, Rationale and Coordination

PS 2: Professional, Legal and Ethical Practices

PS 3: Education Diverse Learners

PS 4: Effective Communication and Collaborative Partnerships

PS 5: Assessment of Students

PS 6: Using Educational and Assistive Technology

PS 7: Transition and Transitional Planning

Preliminary Teaching Standards

PS 9: Preparation to Teach Reading/Language Arts

PS10: Preparation to Teach English Language Learners

PS11: Typical and Atypical Development

PS12: Behavioral, Social, and Environmental Supports for Learning

PS13: Curriculum and Instruction of Students with Disabilities

PS14: Creating Healthy Learning Environments

PS15: Field Experience in a Broad Range of Service Delivery Options

PS16: Assessment of Candidate Performance


Specialty Standards – Mild/Moderate:

MM1: Characteristics of Students with Mild/Moderate Disabilities

MM2: Assessment and Evaluation of Students with Mild/Moderate Disabilities

MM3: Planning and Implementing Mild/Moderate Curriculum Instruction

MM4: Positive Behavior Support  

MM5: Specific Instructional Strategies for Students with Mild/Moderate Disabilities

MM6: Case Management


Specialty Standards – Moderate/Severe:

MS1: Learning Characteristics of Individuals with Moderate/Severe Disabilities

MS2: Communication Skills

MS3: Developing Social Interaction Skills and Facilitating Social Context

MS4: Assessment, Program Planning and Instruction

MS5: Movement, Mobility, Sensory and Specialized Health Care

MS6: Positive Behavioral Support

MS7: Transition and Transitional Planning

MS8: Augmentative and Alternative Communication




ISTE Standards for Educators

  1. Learner

Educators continually improve their practice by learning from and with others and exploring proven and promising practices that leverage technology to improve student learning. Educators:

  1. Set professional learning goals to explore and apply pedagogical approaches made possible by technology and reflect on their effectiveness.

  2. Pursue professional interests by creating and actively participating in local and global learning networks.

  3. Stay current with research that supports improved student learning outcomes, including findings from the learning sciences.

2. Leader

Educators seek out opportunities for leadership to support student empowerment and success and to improve teaching and learning. Educators:

  1. Shape, advance and accelerate a shared vision for empowered learning with technology by engaging with education stakeholders.

  2. Advocate for equitable access to educational technology, digital content and learning opportunities to meet the diverse needs of all students.

  3. Model for colleagues the identification, exploration, evaluation, curation and adoption of new digital resources and tools for learning.

3. Citizen

Educators inspire students to positively contribute to and responsibly participate in the digital world. Educators:

  1. Create experiences for learners to make positive, socially responsible contributions and exhibit empathetic behavior online that build relationships and community.

  2. Establish a learning culture that promotes curiosity and critical examination of online resources and fosters digital literacy and media fluency.

  3. Mentor students in the safe, legal and ethical practices with digital tools and the protection of intellectual rights and property.

  4. Model and promote management of personal data and digital identity and protect student data privacy.


4. Collaborator

Educators dedicate time to collaborate with both colleagues and students to improve practice, discover and share resources and ideas, and solve problems. Educators:

  1. Dedicate planning time to collaborate with colleagues to create authentic learning experiences that leverage technology.

  2. Collaborate and co-learn with students to discover and use new digital resources and diagnose and troubleshoot technology issues.

  3. Use collaborative tools to expand students’ authentic, real- world learning experiences by engaging virtually with experts, teams and students, locally and globally.

  4. Demonstrate cultural competency when communicating with students, parents and colleagues and interact with them as co-collaborators in student learning.


5. Designer

Educators design authentic, learner-driven activities and environments that recognize and accommodate learner variability. Educators:

  1. Use technology to create, adapt and personalize learning experiences that foster independent learning and accommodate learner differences and needs.

  2. Design authentic learning activities that align with content area standards and use digital tools and resources to maximize active, deep learning.

  3. Explore and apply instructional design principles to create innovative digital learning environments that engage and support learning.

6. Facilitator

Educators facilitate learning with technology to support student achievement of the 2016 ISTE Standards for Students. Educators:

  1. Foster a culture where students take ownership of their learning goals and outcomes in both independent and group settings.

  2. Manage the use of technology and student learning strategies in digital platforms, virtual environments, hands-on makerspaces or in the field.

  3. Create learning opportunities that challenge students to use a design process and computational thinking to innovate and solve problems.

  4. Model and nurture creativity and creative expression to communicate ideas, knowledge or connections.

7. Analyst

Educators understand and use data to drive their instruction and support students in achieving their learning goals. Educators:

  1. Provide alternative ways for students to demonstrate competency and reflect on their learning using technology.

  2. Use technology to design and implement a variety of formative and summative assessments that accommodate learner needs, provide timely feedback to students and inform instruction.

  3. Use assessment data to guide progress and communicate with students, parents and education stakeholders to build student self-direction.


Last modified: Tuesday, May 19, 2020, 11:00 PM