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Making Math Make Sense
                                     EDUC448 Week 4




      photo by acidwashphotography
Principles in Curriculum
                                1
 Curriculum is




 what               you teach
Principles in Curriculum
                                 1
 Content should
 be rich, varied,
 and relevant.




            photo by Lucy Dell
Principles in Curriculum
                                                        1
Includes mathematical processes of
  problem solving
  reasoning
  communicating
  making connections
  representing
                                photo by Jerry Miller
Principles in Curriculum
                                                       1
 Mathematically rich environment with a
 variety of materials.




                                photo by Paula Caton
Principles in Curriculum
                                                         1
 Child-centered choices that reflect
 children’s knowledge, abilities, and
 interest.




                                        photo by Marjon Kruik
Principles in Instruction
                              2
Instruction is




how               you teach
Principles in Instruction
                                          2


Planning
decisions based
on knowledge of
children’s
individual needs.
                        photo by Gregory Smith
Principles in Instruction
                                                      2
 Planning for and promoting interactions
 between children and with teacher.




                               photo by Roderick SG
Principles in Instruction
                                        2
 Planning for diverse classroom setting and
 activities that include whole group, small
 group, project teams, etc.
Principles in Instruction
                                                                                                                                                          2
 Facilitating family-school relations
 encouraging reciprocal relations between
 teachers and families.                                             Kindergarten News




                           Room One
                                                                                                      December 15, 2008, Volume XIII


                                             ROWLAND
                                             AVE.
                                             ELEMENTARY
                                             SCHOOL

                                             MRS. BEAN
                                                 &
                                             MR. SELAK




                                                                                                               “Deck the halls with boughs of holly!”


                            Holiday Traditions, and Winter Fun                                                         Reminders
                                                                                                                       Friday, Dec. 19 is a Minimum
                                Students are busy learning        at the end of the week with a
                                                                                                                       Day; Mr. Selak’s class attends
                            about a variety of traditions,        classroom party. Thank you for
                                                                                                                       school from 8:10-11:30 am.
                            holidays, cultures, and customs.      all those who agreed to bring
                            For example, we will learn            supplies for our festivities.                        Winter Break begins Dec. 20.
                                                                                                                       School resumes Jan. 5, 2009.
                            about the African American                We hope your family has a
                            celebration Kwanzaa that be-          safe and happy holiday vaca-
                                                                                                                       Students may wear red or green
                            gins on Dec. 26. We will also         tion. Remember to keep read-                         clothing on Friday, Dec. 19.
                            play a Dreidle game that is           ing every day! We will see you
                                                                                                                       There is no homework packet this
                            enjoyed by many during Ha-            in the New Year when school
                                                                                                                       week. Keep reading every night!
                            nukkah celebrations. Finally,         resumes on January 5, 2009.
                            will be celebrating all we’ve             Best Wishes,                                     Visit http://www.mrselak.com
                            learned about different cultures          Mrs. Bean & Mr. Selak


                                                         We are a California Distinguished School:
                                                         A California Distinguished School is an award given by the California State
                                                         Board of Education to public schools within the state that best represent ex-
                                                         emplary and quality educational programs. Approximately five percent of Cali-
                                                         fornia schools are awarded this honor each year following a rigorous selection
                                                         process. Eligibility is based on federal and state criteria including the No Child Left
                                                         Behind program, Academic Performance Index (API), and Adequate Yearly Progress.
Principles in Assessment
                                 3
Assessment is how you


analyze                 performance.
Principles in Assessment
                                      3
 Benefits
 children and
 identify
 strengths
 and needs.



                photo by Brian Auer
Principles in Assessment
                                     3
 Includes observing and listening.




     photo by Jonathon Powell
Principles in Assessment
                           3
 Uses multiple sources
 of evidence collected
 on a systematic basis.
Principles in Assessment
                                                         3
 Assesses teacher effectiveness as well as
 children’s learning.




                                   photo by June Tajai
Calculators      (Burns ch.6)




 Decide whether or not to use a calculator
 to figure out the answer.
 Example 1:
 6+22+4+303+6+219+14+23+7+9+1
Calculators      (Burns ch.6)




 Decide whether or not to use a calculator
 to figure out the answer.
 Example 2:
 There are 7 tricycles and bicycles total.
 There are a total of 18 wheels. How many
 bicycles and how many tricycles are there?
Y.C. Ch.3
 Work in dyads to present one process strand to the
 class. Highlight key ideas from the chapter.

    Problem Solving (pg. 29 – 33)
    Reasoning (pg. 34 – 38)
    Communication (pg. 38 – 40)
    Connecting (pg. 40 – 42)
    Representing (43 – 45)
What to Do When They
Donʼt Speak English
 Use concise language
 Use manipulatives and everyday objects




                                 photo by sudarshan vijayaraghavan
What to Do When They
Donʼt Speak English
 Use modeling and acting
 Use oral descriptions




                           photo by Judy Baxter
What to Do When They
Donʼt Speak English
 Respect the silent periods
 Match the questions to the child’s proficiency
 level
 Use the child’s first language and culture




                                      photo by Christian V.
Journal
 Referring to your understanding of
 the processing strands, discuss
 three different ways children may
 demonstrate their understanding of
 “seriation of quantities of three or
 more.” How will children show that
 they “know” seriation (putting three
 or more things in order)?
Next Week
Print out a copy of the lesson plan format.
Print out the Algebra strand from the
NCTM standards.
                                                                     Lesson Plan Math Unit

                               The math unit assignment consists of understanding the NCTM mathematic content and
                               processing standards and integrating them into pre-planned, developmentally appropriate
                               mathematics lessons for young children. Two of your pre-planned lessons must be
                               presented in your last five hours of fieldwork. The math unit will consist of the following:

                                        Construct one lesson for each mathematical content strand following the provided
                                   •
                                        lesson plan format. You will develop five (5) lessons. The NCTM strand and
                                        component must be identified on the lesson, as well as the lesson goal and
                                        objective.

                                        Lessons must be based on developmentally appropriate practices and must include
                                   •
                                        a pre and post explanation of assessment.

                                        The use of manipulatives/props should be integrated into every lesson.
                                   •

                                        Three to six vocabulary terms should be introduced or reviewed. The lesson plan
                                   •
                                        will also include four (4) specific, open-ended questions that relate to the lesson
                                        objective.

                                        The lesson plan will include detailed instructions of the activity children
                                   •
                                        participate in as they discover the mathematical concept being introduced or
                                        practiced. The activity may be independent practice or teacher directed.

                                        Four (4) additional extension activities will be included on the lesson plan.
                                   •
                                        Extensions may teach the objective in a different way, scaffold on the presented
                                        objective, or incorporate the objective into other subject areas. The same objective
                                        must be explored in the extension activities.

                                        Differentiated instruction will be addressed in the lesson plan
                                   •

                                         All materials and resources needed must be written on the lesson plan.
                                   •

                                        The self-assessment component is due for the two lessons that are implemented
                                   •
                                        during the fieldwork hours. The other three lessons will include a reflection.

                                        Prepared lessons must be written in a clear manner with the correct use of
                                   •
                                        grammar, spelling, and language mechanics.
                               .




                               Modification of this syllabus may be made at any time at the discretion of the professor or the department.

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Making Math Make Sense EDUC448 Week 4

  • 1. Making Math Make Sense EDUC448 Week 4 photo by acidwashphotography
  • 2. Principles in Curriculum 1 Curriculum is what you teach
  • 3. Principles in Curriculum 1 Content should be rich, varied, and relevant. photo by Lucy Dell
  • 4. Principles in Curriculum 1 Includes mathematical processes of problem solving reasoning communicating making connections representing photo by Jerry Miller
  • 5. Principles in Curriculum 1 Mathematically rich environment with a variety of materials. photo by Paula Caton
  • 6. Principles in Curriculum 1 Child-centered choices that reflect children’s knowledge, abilities, and interest. photo by Marjon Kruik
  • 7. Principles in Instruction 2 Instruction is how you teach
  • 8. Principles in Instruction 2 Planning decisions based on knowledge of children’s individual needs. photo by Gregory Smith
  • 9. Principles in Instruction 2 Planning for and promoting interactions between children and with teacher. photo by Roderick SG
  • 10. Principles in Instruction 2 Planning for diverse classroom setting and activities that include whole group, small group, project teams, etc.
  • 11. Principles in Instruction 2 Facilitating family-school relations encouraging reciprocal relations between teachers and families. Kindergarten News Room One December 15, 2008, Volume XIII ROWLAND AVE. ELEMENTARY SCHOOL MRS. BEAN & MR. SELAK “Deck the halls with boughs of holly!” Holiday Traditions, and Winter Fun Reminders Friday, Dec. 19 is a Minimum Students are busy learning at the end of the week with a Day; Mr. Selak’s class attends about a variety of traditions, classroom party. Thank you for school from 8:10-11:30 am. holidays, cultures, and customs. all those who agreed to bring For example, we will learn supplies for our festivities. Winter Break begins Dec. 20. School resumes Jan. 5, 2009. about the African American We hope your family has a celebration Kwanzaa that be- safe and happy holiday vaca- Students may wear red or green gins on Dec. 26. We will also tion. Remember to keep read- clothing on Friday, Dec. 19. play a Dreidle game that is ing every day! We will see you There is no homework packet this enjoyed by many during Ha- in the New Year when school week. Keep reading every night! nukkah celebrations. Finally, resumes on January 5, 2009. will be celebrating all we’ve Best Wishes, Visit http://www.mrselak.com learned about different cultures Mrs. Bean & Mr. Selak We are a California Distinguished School: A California Distinguished School is an award given by the California State Board of Education to public schools within the state that best represent ex- emplary and quality educational programs. Approximately five percent of Cali- fornia schools are awarded this honor each year following a rigorous selection process. Eligibility is based on federal and state criteria including the No Child Left Behind program, Academic Performance Index (API), and Adequate Yearly Progress.
  • 12. Principles in Assessment 3 Assessment is how you analyze performance.
  • 13. Principles in Assessment 3 Benefits children and identify strengths and needs. photo by Brian Auer
  • 14. Principles in Assessment 3 Includes observing and listening. photo by Jonathon Powell
  • 15. Principles in Assessment 3 Uses multiple sources of evidence collected on a systematic basis.
  • 16. Principles in Assessment 3 Assesses teacher effectiveness as well as children’s learning. photo by June Tajai
  • 17. Calculators (Burns ch.6) Decide whether or not to use a calculator to figure out the answer. Example 1: 6+22+4+303+6+219+14+23+7+9+1
  • 18. Calculators (Burns ch.6) Decide whether or not to use a calculator to figure out the answer. Example 2: There are 7 tricycles and bicycles total. There are a total of 18 wheels. How many bicycles and how many tricycles are there?
  • 19. Y.C. Ch.3 Work in dyads to present one process strand to the class. Highlight key ideas from the chapter. Problem Solving (pg. 29 – 33) Reasoning (pg. 34 – 38) Communication (pg. 38 – 40) Connecting (pg. 40 – 42) Representing (43 – 45)
  • 20. What to Do When They Donʼt Speak English Use concise language Use manipulatives and everyday objects photo by sudarshan vijayaraghavan
  • 21. What to Do When They Donʼt Speak English Use modeling and acting Use oral descriptions photo by Judy Baxter
  • 22. What to Do When They Donʼt Speak English Respect the silent periods Match the questions to the child’s proficiency level Use the child’s first language and culture photo by Christian V.
  • 23. Journal Referring to your understanding of the processing strands, discuss three different ways children may demonstrate their understanding of “seriation of quantities of three or more.” How will children show that they “know” seriation (putting three or more things in order)?
  • 24. Next Week Print out a copy of the lesson plan format. Print out the Algebra strand from the NCTM standards. Lesson Plan Math Unit The math unit assignment consists of understanding the NCTM mathematic content and processing standards and integrating them into pre-planned, developmentally appropriate mathematics lessons for young children. Two of your pre-planned lessons must be presented in your last five hours of fieldwork. The math unit will consist of the following: Construct one lesson for each mathematical content strand following the provided • lesson plan format. You will develop five (5) lessons. The NCTM strand and component must be identified on the lesson, as well as the lesson goal and objective. Lessons must be based on developmentally appropriate practices and must include • a pre and post explanation of assessment. The use of manipulatives/props should be integrated into every lesson. • Three to six vocabulary terms should be introduced or reviewed. The lesson plan • will also include four (4) specific, open-ended questions that relate to the lesson objective. The lesson plan will include detailed instructions of the activity children • participate in as they discover the mathematical concept being introduced or practiced. The activity may be independent practice or teacher directed. Four (4) additional extension activities will be included on the lesson plan. • Extensions may teach the objective in a different way, scaffold on the presented objective, or incorporate the objective into other subject areas. The same objective must be explored in the extension activities. Differentiated instruction will be addressed in the lesson plan • All materials and resources needed must be written on the lesson plan. • The self-assessment component is due for the two lessons that are implemented • during the fieldwork hours. The other three lessons will include a reflection. Prepared lessons must be written in a clear manner with the correct use of • grammar, spelling, and language mechanics. . Modification of this syllabus may be made at any time at the discretion of the professor or the department.

Notas del editor

  1. Y.C. Ch.2 Principles in teaching math
  2. Y.C. Ch.2 Principles in teaching math
  3. Y.C. Ch.2 Principles in teaching math
  4. Y.C. Ch.2 Principles in teaching math
  5. Y.C. Ch.2 Principles in teaching math
  6. Y.C. Ch.2 Principles in teaching math
  7. Y.C. Ch.2 Principles in teaching math
  8. Y.C. Ch.2 Principles in teaching math
  9. Y.C. Ch.2 Principles in teaching math
  10. Y.C. Ch.2 Principles in teaching math
  11. Y.C. Ch.2 Principles in teaching math
  12. Y.C. Ch.2 Principles in teaching math
  13. Y.C. Ch.2 Principles in teaching math
  14. Y.C. Ch.2 Principles in teaching math
  15. Y.C. Ch.2 Principles in teaching math
  16. Students will decide whether or not they want to use a calculator to figure out the answer. Discussion will follow regarding appropriate/ease of use of calculator. Emphasis placed on knowing the appropriate functions and how to apply them with the calculator.
  17. Students will decide whether or not they want to use a calculator to figure out the answer. Discussion will follow regarding appropriate/ease of use of calculator. Emphasis placed on knowing the appropriate functions and how to apply them with the calculator.