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  PUHSD
  February 9, 2012
PUHSD
February 9, 2012
• Turn calculator on
• Click 5 Settings
• Click 5 Login
• Sign into the calculator
  with your given
  username and
  password
• Answer the quick poll
  and hit submit. Then
  you can log out and
  share the calculator
  with another team
  member
What do you predict to be the most
missed?
• Pick one the of the most missed items
  and analyze the question
  • What was the student misconception?
  • How can you address the
    misconception?
  • What task would support developing this
How do you create rich learning experiences
that meet the demand of CCSS?
• The Common Core
  proposes a set of
  Mathematical Practices that
  all teachers should develop
  in their students. These
  practices are similar to the
  mathematical processes
  that NCTM addresses in the
  Process Standards in
  Principles and Standards
  for School Mathematics.
• Your table is assigned a specific mathematical practice.
•




            Student Actions          Teacher behaviors needed to
                                     help facilitate this practice
Lesson Planning Secret # 1: How was students’ prior knowledge
                  addressed in creating the lesson?

                  Lesson Planning Secret # 2: How much of the lesson / material
                  was covered through student exploration or student questioning
                  (instead of didactic lecture)?

                  Lesson Planning Secret # 3: What kinds of varied activities were
                  used to engage students and stimulate intellectual rigor?

                  Lesson Planning Secret # 4: What kinds of in class formative
                  assessments were used to form the lesson as well as evaluate the
                  effectiveness of the lesson?

  6 secrets to    Lesson Planning Secret # 5: Reflect on the depth
lesson planning   of conceptual understanding of the content
                  demonstrated by the students.
                  • How did the lesson provide for high cognitive
                     demand task opportunities?
                  Lesson Planning Secret # 6: Reflect on the processes that students
                  were asked to use to manipulate information, arrive at conclusions,
                  and evaluate knowledge claims.
                  • How do students communicate their ideas to each other?
Goal 1: What are rich mathematical tasks?
• How can we encourage higher-order thinking skills? How
  do tasks support problem-solving?

Goal 2: How do we implement rich mathematical tasks
in the classroom?
• What questioning strategies do we use?
• What do teachers do to support learners engaging in rich
  mathematical tasks?
1.   If you graph the ordered pairs (d, F) from the
     table, they lie on a line. How can you tell this
     without graphing it?
2.   Prove that the line in F 2.25d 1.5
                             question 1 has equation:

3.   What do the 2.25 and the 1.5 in the equation
     represent in terms of taxi rides?
4 Strategies to modify our current questioning practices –
This is a starting point to engage in the CCSS
Mathematical practices
       Here is the answer,        Make up your own
         what could the
          question be?



           What if?                 All answers
Here is the answer,      Make up your own
   what could the
   question be?          Create three problems
                         that you need to apply
                        two or more properties
  The roots of an           of exponents to
equation are 2 and 3.     simplify. Be sure to
What is the equation?   justify why you need to
                        apply those properties.
What if?               All answers

 What if I changed the
value of a to a number   How many possible
 greater that 1? What    solutions are there?
 would happen to the
        graph?
           2
  y   ax       bx c
Team Planning Questions that Promote CCSS Mathematical Practices

 As we develop common tasks and problems to be used during the
 unit, we should consider:

• Is the problem interesting to students?
• Does the problem involve meaningful mathematics?
• Does the problem provide an opportunity for students to apply and
  extend mathematics?
• Is the problem challenging for students?
• Does the problem support the use of multiple strategies or pathways
  for solution?
• Will students’ interactions with the problem and with peers reveal
  information about students’ mathematics understanding?
                                                       CCSS in a PLC (2012)
• Three PLC dates (September, February
  and April)
• Register for testing on the ning
• If you are new to AQT/GQT, submit a
  pacing calendar and syllabus for course
  approval by Friday October 28th.
• Students take Midterm in late December or
  early January and you must bring all
  student work with you to the February
  meeting
• Next PLC date is April 17 or 19th.
• Complete spreadsheet and return to Mona
  electronically by Thursday 3/29/12
• Answer documents and 1 copy of the
  exam will be distributed at the April PLC
  and you or a representative must attend
• What are three things I
            learned?
          • What are two things I
            would like to more about?
AQT/GQT   • What is one thing that I am
            still confused about?

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AQT February PLC 2012

  • 1. • Sign In • Complete Item Analysis tool • Make predictions for data (Data Dialogue prompts) PUHSD February 9, 2012
  • 3. • Turn calculator on • Click 5 Settings • Click 5 Login • Sign into the calculator with your given username and password • Answer the quick poll and hit submit. Then you can log out and share the calculator with another team member
  • 4. What do you predict to be the most missed? • Pick one the of the most missed items and analyze the question • What was the student misconception? • How can you address the misconception? • What task would support developing this
  • 5.
  • 6.
  • 7.
  • 8. How do you create rich learning experiences that meet the demand of CCSS?
  • 9. • The Common Core proposes a set of Mathematical Practices that all teachers should develop in their students. These practices are similar to the mathematical processes that NCTM addresses in the Process Standards in Principles and Standards for School Mathematics.
  • 10. • Your table is assigned a specific mathematical practice. • Student Actions Teacher behaviors needed to help facilitate this practice
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  • 12. Lesson Planning Secret # 1: How was students’ prior knowledge addressed in creating the lesson? Lesson Planning Secret # 2: How much of the lesson / material was covered through student exploration or student questioning (instead of didactic lecture)? Lesson Planning Secret # 3: What kinds of varied activities were used to engage students and stimulate intellectual rigor? Lesson Planning Secret # 4: What kinds of in class formative assessments were used to form the lesson as well as evaluate the effectiveness of the lesson? 6 secrets to Lesson Planning Secret # 5: Reflect on the depth lesson planning of conceptual understanding of the content demonstrated by the students. • How did the lesson provide for high cognitive demand task opportunities? Lesson Planning Secret # 6: Reflect on the processes that students were asked to use to manipulate information, arrive at conclusions, and evaluate knowledge claims. • How do students communicate their ideas to each other?
  • 13. Goal 1: What are rich mathematical tasks? • How can we encourage higher-order thinking skills? How do tasks support problem-solving? Goal 2: How do we implement rich mathematical tasks in the classroom? • What questioning strategies do we use? • What do teachers do to support learners engaging in rich mathematical tasks?
  • 14. 1. If you graph the ordered pairs (d, F) from the table, they lie on a line. How can you tell this without graphing it? 2. Prove that the line in F 2.25d 1.5 question 1 has equation: 3. What do the 2.25 and the 1.5 in the equation represent in terms of taxi rides?
  • 15. 4 Strategies to modify our current questioning practices – This is a starting point to engage in the CCSS Mathematical practices Here is the answer, Make up your own what could the question be? What if? All answers
  • 16. Here is the answer, Make up your own what could the question be? Create three problems that you need to apply two or more properties The roots of an of exponents to equation are 2 and 3. simplify. Be sure to What is the equation? justify why you need to apply those properties.
  • 17. What if? All answers What if I changed the value of a to a number How many possible greater that 1? What solutions are there? would happen to the graph? 2 y ax bx c
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  • 19. Team Planning Questions that Promote CCSS Mathematical Practices As we develop common tasks and problems to be used during the unit, we should consider: • Is the problem interesting to students? • Does the problem involve meaningful mathematics? • Does the problem provide an opportunity for students to apply and extend mathematics? • Is the problem challenging for students? • Does the problem support the use of multiple strategies or pathways for solution? • Will students’ interactions with the problem and with peers reveal information about students’ mathematics understanding? CCSS in a PLC (2012)
  • 20. • Three PLC dates (September, February and April) • Register for testing on the ning • If you are new to AQT/GQT, submit a pacing calendar and syllabus for course approval by Friday October 28th. • Students take Midterm in late December or early January and you must bring all student work with you to the February meeting
  • 21. • Next PLC date is April 17 or 19th. • Complete spreadsheet and return to Mona electronically by Thursday 3/29/12 • Answer documents and 1 copy of the exam will be distributed at the April PLC and you or a representative must attend
  • 22. • What are three things I learned? • What are two things I would like to more about? AQT/GQT • What is one thing that I am still confused about?

Hinweis der Redaktion

  1. 15 minutes