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Strategies in
  Teaching
Mathematics
Strategy based on Objectives
                    Knowledge
                   and skill Goals

                  Understanding
                     Goals

                  Problem Solving
Knowledge and Skill Goals
• Student are required to memorize facts or to
  become proficient in using algorithms
• It requires automatic responses which could
  be achieved through repetition or practice
Understanding Goals
               Interaction                   Laboratory
 Authority         and          Discovery       This is
  Teaching     Discussion          The                          Teacher
                                                 done
 teacher is    Created by                                     Controlled
                              elements of      through
                  asking                                     presentation
 the one in                    a discovery   experiment
              questions in                                   Teacher uses
 charge of       order to      experience    al activities
                                                               different
    the          provide           are          dealing
                                                              educational
concepts to     means for      motivation        with
                                                              technology
be learned        active      for students     concrete
              participation                   situations
Problem Solving
  a. Make sure students understand the
                                             b. Ask questions.
                 problem


                                             d. Provide students with an
   c. Help the students gather relevant      atmosphere conducive to solving
             thought material                problems


e. Encourage he students to reflect on the   f. Encourage them to present alternate
problem and how they arrived into            ways to solve the problems
solutions
Guided
                  Cognitive           Discovery       Metacognition
Constructivism                                                        Cooperative
                   encourages         Learning          Students
 Learning is an                                                       learning
                       the          Tool engages         should
 active process                                                       a. Forming
                    students’       students in a      develop and
    in which                                                          groups
    learners        creativity         series of       explore the
                                                                      b. Working
 construct new      with the        Higher order        problem.
                                                                      as group
    ideas or      implementa        thinking skills      It must
                                                                      c. Problem
concepts based       tion of            to solve      challenge the
upon their past                                                       solving as
                   technology         problems         students to
  knowledge/                                                          Group
                                                          think.
    SCHEMA                                                            d. Managing
                                                                      differences




                                 Theoretical basis
                                   of Problem
                                     Solving
                                    Strategies
Check the
                                                       Solution

Steps of Problem                           Solve the
Solving Strategy                           problem

                                  Estimate the answer


                      Identify needed information

            Prepare visual-aids

                Select appropriate notation


               Restate the problem
Other
 Techniques in
Problem Solving                            Concept Formation Strategy
Concept attainment Strategy                • This strategy is used when you
•This allows students to discover the      want the students to make
essential attributes of a concept          connections between and
                                           among essential element of a
•It can enhance students’ skills in        concept
separating important from unimportant
information; searching for patterns and
making generalizations; and defining
and explaining concepts

•It is successful when students are able
to generate their own example and
describe the process they used to find
the essential attributes f the concept
Developing a Lesson in
             Mathematics
Concept Attainment
Evaluating
Mathematics
  Learning
Evaluation Procedures

                 Individual and
  Readiness       Group Tests     Informal and
      and                         Standardized
  Diagnostic                          Tests
     Tests

                     Testing
                   Procedures
 Verbal, nonve                     Oral , Essay
   rbal and                       and Objective
 Performance                          Tests
                  Speed , Power
     Tests
                   and Mastery
                      Tests
• Evaluation Procedures   Interview such
                           as teacher –
                          pupil interview

                                          Questionnaires

                                            Anecdotal
    Non Testing                              Records
    Procedures
                                            Sociometric
                                              Devices
                            Ranking and
                              Rating
                            Procedures
Types of Tests for Evaluation Purposes
                                            b. Diagnostic tests attempts to
 a. Achievement Test include simple       locate areas of misunderstanding
  quizzes on the work during single        or areas where teaching has not
  period to full-scale examinations         taken place to enable suitable        g. Sociometric
                                           remedial instruction to be given         Tests which
                                                                                  test sociability
c. Inventory tests often referred to as   d. Individual tests require careful       of students
 pre- and post- tests and are used to      questioning and observation of          require them
 determine the improvement of the         the reaction of an individual and         to select or
               students                     needs an expert to administer          identify their
                                                                                     classmates
                                                                                    whom they
 e. Speed tests are tests wherein a                                               like very much
                                            f. Power tests require a student
 student is required to complete as
                                           to do as many problems or tasks
    many tests or problems in a
                                          out of a set of increasing difficulty
        predetermined time
Thank you….
  Lovelots, nayka

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Strategies in teaching mathematics

  • 1. Strategies in Teaching Mathematics
  • 2. Strategy based on Objectives Knowledge and skill Goals Understanding Goals Problem Solving
  • 3. Knowledge and Skill Goals • Student are required to memorize facts or to become proficient in using algorithms • It requires automatic responses which could be achieved through repetition or practice
  • 4. Understanding Goals Interaction Laboratory Authority and Discovery This is Teaching Discussion The Teacher done teacher is Created by Controlled elements of through asking presentation the one in a discovery experiment questions in Teacher uses charge of order to experience al activities different the provide are dealing educational concepts to means for motivation with technology be learned active for students concrete participation situations
  • 5. Problem Solving a. Make sure students understand the b. Ask questions. problem d. Provide students with an c. Help the students gather relevant atmosphere conducive to solving thought material problems e. Encourage he students to reflect on the f. Encourage them to present alternate problem and how they arrived into ways to solve the problems solutions
  • 6. Guided Cognitive Discovery Metacognition Constructivism Cooperative encourages Learning Students Learning is an learning the Tool engages should active process a. Forming students’ students in a develop and in which groups learners creativity series of explore the b. Working construct new with the Higher order problem. as group ideas or implementa thinking skills It must c. Problem concepts based tion of to solve challenge the upon their past solving as technology problems students to knowledge/ Group think. SCHEMA d. Managing differences Theoretical basis of Problem Solving Strategies
  • 7. Check the Solution Steps of Problem Solve the Solving Strategy problem Estimate the answer Identify needed information Prepare visual-aids Select appropriate notation Restate the problem
  • 8. Other Techniques in Problem Solving Concept Formation Strategy Concept attainment Strategy • This strategy is used when you •This allows students to discover the want the students to make essential attributes of a concept connections between and among essential element of a •It can enhance students’ skills in concept separating important from unimportant information; searching for patterns and making generalizations; and defining and explaining concepts •It is successful when students are able to generate their own example and describe the process they used to find the essential attributes f the concept
  • 9. Developing a Lesson in Mathematics
  • 12. Evaluation Procedures Individual and Readiness Group Tests Informal and and Standardized Diagnostic Tests Tests Testing Procedures Verbal, nonve Oral , Essay rbal and and Objective Performance Tests Speed , Power Tests and Mastery Tests
  • 13. • Evaluation Procedures Interview such as teacher – pupil interview Questionnaires Anecdotal Non Testing Records Procedures Sociometric Devices Ranking and Rating Procedures
  • 14. Types of Tests for Evaluation Purposes b. Diagnostic tests attempts to a. Achievement Test include simple locate areas of misunderstanding quizzes on the work during single or areas where teaching has not period to full-scale examinations taken place to enable suitable g. Sociometric remedial instruction to be given Tests which test sociability c. Inventory tests often referred to as d. Individual tests require careful of students pre- and post- tests and are used to questioning and observation of require them determine the improvement of the the reaction of an individual and to select or students needs an expert to administer identify their classmates whom they e. Speed tests are tests wherein a like very much f. Power tests require a student student is required to complete as to do as many problems or tasks many tests or problems in a out of a set of increasing difficulty predetermined time
  • 15.
  • 16. Thank you…. Lovelots, nayka