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Brea C. Ratliff, DeSoto ISD Math Supervisor
What do you believe about how
       students learn?
Step 1
                 Knowledge of Students


1. What is the data saying about the
  students?

2. How will the teacher observe the students’
   learning styles while teaching these units?

3. What background knowledge will students
   need to have in order to master these units?
Deconstructing the TEKS
                    Math TEKS
             (Link to the TEA website)

                Be sure to review the
                 new Math standards
                 ASAP.
Staying “On Target” With the
               TEKS

                           Introduction
Grade Level or
                             or Basic
   Course                 Understanding




      Strand
    Reporting
    Categories
     (STAAR)

    Objectives
     (TAKS)


                 Subject Area
List the strands for Algebra 1.        Is this a student expectation or a knowledge Under which grade level would you find this
                                                            and skills statement:                    introductory statement:
                                                “The student adds, subtracts, multiplies, or “The primary focal points at Grade __ are
                                                    divides to solve problems and justify    using direct proportional relationships in
                                                                  solutions.”                 number, geometry, measurement, and
                                                                 Explain why.                              probability...”

   True or False: Reporting Categories,         True or False: There is no direct / explicit   Where in the TEKS would you be able to find
  Strands, and Objectives are exactly the       link to Geometry written in the Algebra II     information about the Process Standards for
            same. Explain why.                              TEKS. Explain why.                           the EOC tested courses?




Is this a student expectation or a knowledge List two 5th grade student expectations that      “The student is expected to determine the
              and skills statement:                    are indicators of Algebra Readiness.   domain and range of functions using graphs,
    “The student is expected to collect and                                                              tables, and symbols.”
       organize data, make and interpret                                                      Which grade level or course does this apply
scatterplots, fit the graph of a function to the                                                                  to?
  data, interpret the results, and proceed to
    model, predict, and make decisions and
               critical judgments.”
                   Explain why.
   Under which course would you find this        Is this a student expectation or a knowledge   True or False: There is no introductory
             basic understanding:                              and skills statement:                   statement for Algebra 1.
  “Students use a variety of representations        “The student applies logical reasoning to
   (concrete, pictorial, numerical, symbolic,    justify and prove mathematical statements.”
graphical, and verbal), tools, and technology                      Explain why.
   (including, but not limited to, calculators
  with graphing capabilities, data collection
 devices, and computers) to solve meaningful
                    problems…”
Step 2
         Year-at–a–Glance (YAG) and the TEKS Verification Document


1. Which units are being taught?



2. What are the concepts of focus and student
   expectations addressed in each unit?



3. Is the suggested time for teaching these units
   reasonable? (Explain)
CSCOPE Instructional Focus Documents are used to group the
specified standards from the Vertical Alignment Documents and
the Year-at-a-Glance into a logical sequence for instruction.


                                                                                      Pacing




                Information Included in the Introduction of the TEKS;
                        “Before / During / After” ; Research;



                                        Mistakes in Learning



         Tool to Show Learning       Strands; Key Words from         Purpose for
                                     Knowledge and Skills or
           Has Taken Place             Student Expectations
                                                                      Learning




               Knowledge and Skills Statements;           Cognitive Processes and LIMITED
                    Student Expectations                         Examples from VAD
Performance Indicator
       Rubric
                       Reasoning and
                           Proof




  Problem Solving                            Communication



               NCTM Process Standards




          Representation               Connections
Step 3
                     Instructional Focus Document (IFD)

1. Describe the instructional rationale. How will the teacher engage the
   students and make the concept relevant for learning?

2. Which resources are most appropriate for teaching these units?

3. Master Teachers Know This…If we know the kinds of misconceptions
   students develop as they learn these concepts, when will it become
   apparent and what will be done to correct them?

4.   How will academic vocabulary be introduced and taught?

5. What should students be able to do by the end of the unit? How does the
   Performance Indicator evaluate student learning?

6. How else could the student expectations within these units be presented
   so students avoid becoming “sample item” dependent?
15
The Gap
               Grade 5                    Grade 6                      Grade 7
2012-2013      No treatment of integers   “Use integers to represent
                                          real life situations” 6.1C
                                                                       “Use models, such as
                                                                       concrete objects, pictorial
Current TEKS                                                           models, and number lines
                                                                       to add, subtract, multiply,
                                                                       and divide integers and
                                                                       connect the actions to
                                                                       algorithms” 7.2C

2013-2014      No treatment of integers   “Use integers to represent
                                          real life situations” 6.1C
                                                                       “Use models, such as
                                                                       concrete objects, pictorial
Current TEKS                                                           models, and number lines
                                                                       to add, subtract, multiply,
                                                                       and divide integers and
                                                                       connect the actions to
                                                                       algorithms” 7.2C

2014-2015      No treatment of integers   “represent integer
                                          operations with concrete
                                                                       No treatment of integers

NEW TEKS                                  models and connect the
                                          actions with the models to
                                          standardized algorithms”

                                           “add, subtract, multiply,
                                          and divide integers
                                          fluently”
Step 4
          Vertical Alignment Document (VAD)


1. What do students learn in the previous
   two grades to prepare them for these
   concepts?

2. How will students use this knowledge in
   the next grade level / course?
Enhanced Instructional
Transition Guides (EITGs)
   EITGs are an extension of the IFDs and provide
    the following:
       lesson descriptions
       specified standards with strikethroughs
       identified instructional vocabulary
       defined materials lists
       modeled 5E instruction
       detailed instructional procedures and/or examples
       specific teacher notes
       aligned handouts/attachments
Step 5
    Unit Assessments and Enhanced
  Instructional Transition Guides (EITG)

1. How do the Unit Assessments determine the level of
   specificity and rigor which need to be included in the
   teacher’s instruction?

2. Explain how the Exemplar Lessons / activities
   extend the knowledge specified in the Instructional
   Focus Document.
Final Steps…
        Step 6                                      Step 7
    Plan Instruction                           Teacher Reflection
1. What materials will the teacher need in
   order to effectively teach each lesson?     1. What did students learn? Cite
2. How will the teacher provide and activate
   background knowledge for each lesson?
                                                  evidence.
3. What thought provoking questions will the   2. What, if anything, would you do
   teacher ask the students during each           differently?
   lesson?
4. How and when will the Math Journal be
                                               3. What are the next steps for
   used for instruction?                          instruction and RTI?
5. How will the teacher use the Spiral
   Reviews?
Collaborative Planning
              Form a group with
               other teachers from
               your grade level or
               course.
              Use the “Steps For
               Planning Instruction
               Using CSCOPE”
               Template to plan
               instruction for the 1st
               Six Weeks
Collaborative Planning
                     Goals / Objectives

           1.   You will have 45 minutes to
                complete at least Steps 1 – 5
                with your group. (Each person should
                write on his / her own template)


                     Augment the Exemplars Standards-
                      Based Math Rubric for your PI
                     Use the iPads to access the Vertical
                      Alignment Documents from
                      CSCOPE, Lead4Ward, and Houston
                      ISD

           2.   Create a poster size flow chart
                which highlights the main ideas
                from your session – be prepared
                to present your work.
Vertical Alignment

              Equity
         (Who we teach)




   Content         Pedagogy
   (What we            (How we
    teach)              teach)
Math Non Negotiables
                           (Secondary)



                                                              November 2012


                                                              •Full Implementation
                                               October 2012
                                                               of all Math Non-
                                                               Negotiables
                                               •Talk Moves

                     September – October 2012

                     •4 Step Problem Solving
                      Model
                     •Technical Reading


August 2012

• CSCOPE Documents
• Math Journals
• Formative &
  Summative
  Assessment
Self Assessment

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Secondary mathematics wednesday august 22 2012

  • 1. Brea C. Ratliff, DeSoto ISD Math Supervisor
  • 2. What do you believe about how students learn?
  • 3.
  • 4. Step 1 Knowledge of Students 1. What is the data saying about the students? 2. How will the teacher observe the students’ learning styles while teaching these units? 3. What background knowledge will students need to have in order to master these units?
  • 5. Deconstructing the TEKS Math TEKS (Link to the TEA website)  Be sure to review the new Math standards ASAP.
  • 6. Staying “On Target” With the TEKS Introduction Grade Level or or Basic Course Understanding Strand Reporting Categories (STAAR) Objectives (TAKS) Subject Area
  • 7.
  • 8.
  • 9.
  • 10. List the strands for Algebra 1. Is this a student expectation or a knowledge Under which grade level would you find this and skills statement: introductory statement: “The student adds, subtracts, multiplies, or “The primary focal points at Grade __ are divides to solve problems and justify using direct proportional relationships in solutions.” number, geometry, measurement, and Explain why. probability...” True or False: Reporting Categories, True or False: There is no direct / explicit Where in the TEKS would you be able to find Strands, and Objectives are exactly the link to Geometry written in the Algebra II information about the Process Standards for same. Explain why. TEKS. Explain why. the EOC tested courses? Is this a student expectation or a knowledge List two 5th grade student expectations that “The student is expected to determine the and skills statement: are indicators of Algebra Readiness. domain and range of functions using graphs, “The student is expected to collect and tables, and symbols.” organize data, make and interpret Which grade level or course does this apply scatterplots, fit the graph of a function to the to? data, interpret the results, and proceed to model, predict, and make decisions and critical judgments.” Explain why. Under which course would you find this Is this a student expectation or a knowledge True or False: There is no introductory basic understanding: and skills statement: statement for Algebra 1. “Students use a variety of representations “The student applies logical reasoning to (concrete, pictorial, numerical, symbolic, justify and prove mathematical statements.” graphical, and verbal), tools, and technology Explain why. (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to solve meaningful problems…”
  • 11. Step 2 Year-at–a–Glance (YAG) and the TEKS Verification Document 1. Which units are being taught? 2. What are the concepts of focus and student expectations addressed in each unit? 3. Is the suggested time for teaching these units reasonable? (Explain)
  • 12. CSCOPE Instructional Focus Documents are used to group the specified standards from the Vertical Alignment Documents and the Year-at-a-Glance into a logical sequence for instruction. Pacing Information Included in the Introduction of the TEKS; “Before / During / After” ; Research; Mistakes in Learning Tool to Show Learning Strands; Key Words from Purpose for Knowledge and Skills or Has Taken Place Student Expectations Learning Knowledge and Skills Statements; Cognitive Processes and LIMITED Student Expectations Examples from VAD
  • 13. Performance Indicator Rubric Reasoning and Proof Problem Solving Communication NCTM Process Standards Representation Connections
  • 14. Step 3 Instructional Focus Document (IFD) 1. Describe the instructional rationale. How will the teacher engage the students and make the concept relevant for learning? 2. Which resources are most appropriate for teaching these units? 3. Master Teachers Know This…If we know the kinds of misconceptions students develop as they learn these concepts, when will it become apparent and what will be done to correct them? 4. How will academic vocabulary be introduced and taught? 5. What should students be able to do by the end of the unit? How does the Performance Indicator evaluate student learning? 6. How else could the student expectations within these units be presented so students avoid becoming “sample item” dependent?
  • 15. 15
  • 16. The Gap Grade 5 Grade 6 Grade 7 2012-2013 No treatment of integers “Use integers to represent real life situations” 6.1C “Use models, such as concrete objects, pictorial Current TEKS models, and number lines to add, subtract, multiply, and divide integers and connect the actions to algorithms” 7.2C 2013-2014 No treatment of integers “Use integers to represent real life situations” 6.1C “Use models, such as concrete objects, pictorial Current TEKS models, and number lines to add, subtract, multiply, and divide integers and connect the actions to algorithms” 7.2C 2014-2015 No treatment of integers “represent integer operations with concrete No treatment of integers NEW TEKS models and connect the actions with the models to standardized algorithms” “add, subtract, multiply, and divide integers fluently”
  • 17. Step 4 Vertical Alignment Document (VAD) 1. What do students learn in the previous two grades to prepare them for these concepts? 2. How will students use this knowledge in the next grade level / course?
  • 18. Enhanced Instructional Transition Guides (EITGs)  EITGs are an extension of the IFDs and provide the following:  lesson descriptions  specified standards with strikethroughs  identified instructional vocabulary  defined materials lists  modeled 5E instruction  detailed instructional procedures and/or examples  specific teacher notes  aligned handouts/attachments
  • 19. Step 5 Unit Assessments and Enhanced Instructional Transition Guides (EITG) 1. How do the Unit Assessments determine the level of specificity and rigor which need to be included in the teacher’s instruction? 2. Explain how the Exemplar Lessons / activities extend the knowledge specified in the Instructional Focus Document.
  • 20. Final Steps… Step 6 Step 7 Plan Instruction Teacher Reflection 1. What materials will the teacher need in order to effectively teach each lesson? 1. What did students learn? Cite 2. How will the teacher provide and activate background knowledge for each lesson? evidence. 3. What thought provoking questions will the 2. What, if anything, would you do teacher ask the students during each differently? lesson? 4. How and when will the Math Journal be 3. What are the next steps for used for instruction? instruction and RTI? 5. How will the teacher use the Spiral Reviews?
  • 21. Collaborative Planning  Form a group with other teachers from your grade level or course.  Use the “Steps For Planning Instruction Using CSCOPE” Template to plan instruction for the 1st Six Weeks
  • 22. Collaborative Planning Goals / Objectives 1. You will have 45 minutes to complete at least Steps 1 – 5 with your group. (Each person should write on his / her own template)  Augment the Exemplars Standards- Based Math Rubric for your PI  Use the iPads to access the Vertical Alignment Documents from CSCOPE, Lead4Ward, and Houston ISD 2. Create a poster size flow chart which highlights the main ideas from your session – be prepared to present your work.
  • 23. Vertical Alignment Equity (Who we teach) Content Pedagogy (What we (How we teach) teach)
  • 24. Math Non Negotiables (Secondary) November 2012 •Full Implementation October 2012 of all Math Non- Negotiables •Talk Moves September – October 2012 •4 Step Problem Solving Model •Technical Reading August 2012 • CSCOPE Documents • Math Journals • Formative & Summative Assessment

Hinweis der Redaktion

  1. If kids are missing a concept . . . What are the supporting stds that are related?Principals, you don’t have content area expertise to do this.This is what curriculum experts are for.Shows graphically how an SE develops over time.