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ITLM TOPIC 3

CURRENT TRENDS & ISSUES IN
MATHEMATICS EDUCATION
OBJECTIVES
   Be aware and make a list of trends and issues related
    to pedagogy of teaching in secondary math such as
    problem solving, psychology of learning, assessment
    and methods of teaching involving socialization
   Be aware and make a list of trends and issues such
    as globalization, teacher training, community and
    research which are related to math teaching
   Describe the importance to the trends that will affect
    the country, the teacher and the students
   Know how to adapt to the situation under the change
    in the current trends especially in teacher training in
    secondary mathematics
CURRENT PRACTICE IN SCHOOLS
Mathematics education is essentially a
practical discipline, where the underlying goal
is always to promote better learning of
mathematics by students. Of course there are
many subtleties of what mathematics should
be learned and why, in whose interest is it that
students learn, how achievement is measured
etc, but the discipline of mathematics
educationis underpinned by a faith that a good
education in mathematics benefits both the
individual and society.
MATHEMATICS EDUCATION DISCIPLINE
VARIETY OF INSTRUCTIONAL METHOD

 to cultivate students’ abilities to
  investigate, to make sense of, and to
  construct meaning from new situations;
 to make and provide arguments for
  conjectures; and
 to use a flexible set of strategies to solve
  problems from both within and outside
  mathematics
VARIETY OF INSTRUCTIONAL METHOD

 In addition to traditional teacher
  demonstration and teacher-led discussion,
 greater opportunities should be provided for
  small-group work,
 individual explorations,

 peer instruction, and

 whole class-discussion in which the teacher
  serves as a moderator.
THE SHIFT OF TEACHER’S ROLE

 from dispensing information to facilitating
  learning,
 from that of director to that of catalyst and
  coach.
TECHNOLOGY-RICH CLASSROOM ENVIRONMENTS

   The most fundamental consequences of
    changes in patterns of instruction is the
    emergence of a new classroom dynamic in
    which teachers and students become natural
    partners in developing mathematical ideas
    and solving mathematical problems.
DECREASED ATTENTION TO

 Rote memorization of facts and procedures
 Extended periods of individual seatwork
  practicing routine tasks
 Instruction by teacher exposition

 Paper and pencil manipulative skill work

 The relegation of testing to an adjunct role
  with the sole purpose of assigning grades
INCREASED ATTENTION TO
 The active involvement of students in
  constructing and applying mathematical
  ideas
 Problem solving as a means as well as a
  goal of instruction
 Effective questioning techniques that
  promote student interaction
 The use of a variety of instructional formats
 The use of calculators and computers as
  tools for learning and doing mathematics
INCREASED ATTENTION TO
 Student communication of mathematical
  ideas orally and in writing
 The establishment and application of
  interrelatedness of mathematical topics
 The systematic maintenance of student
  learning and embedding review in the
  context of new topics and problem situation
 The assessment of learning as integral part
  of instruction
PROBLEM SOLVING
 Use, with increasing confidence, problem-
  solving approaches to investigate and
  understand mathematical content;
 Apply integrated mathematical problem-solving
  strategies to solve problems from within and
  outside mathematics;
 Recognize and formulate problems from
  situations within and outside mathematics;
 Apply the process of mathematical modeling to
  real-world problem situations.

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Itlm topic 3

  • 1. ITLM TOPIC 3 CURRENT TRENDS & ISSUES IN MATHEMATICS EDUCATION
  • 2. OBJECTIVES  Be aware and make a list of trends and issues related to pedagogy of teaching in secondary math such as problem solving, psychology of learning, assessment and methods of teaching involving socialization  Be aware and make a list of trends and issues such as globalization, teacher training, community and research which are related to math teaching  Describe the importance to the trends that will affect the country, the teacher and the students  Know how to adapt to the situation under the change in the current trends especially in teacher training in secondary mathematics
  • 3. CURRENT PRACTICE IN SCHOOLS Mathematics education is essentially a practical discipline, where the underlying goal is always to promote better learning of mathematics by students. Of course there are many subtleties of what mathematics should be learned and why, in whose interest is it that students learn, how achievement is measured etc, but the discipline of mathematics educationis underpinned by a faith that a good education in mathematics benefits both the individual and society.
  • 5. VARIETY OF INSTRUCTIONAL METHOD  to cultivate students’ abilities to investigate, to make sense of, and to construct meaning from new situations;  to make and provide arguments for conjectures; and  to use a flexible set of strategies to solve problems from both within and outside mathematics
  • 6. VARIETY OF INSTRUCTIONAL METHOD  In addition to traditional teacher demonstration and teacher-led discussion,  greater opportunities should be provided for small-group work,  individual explorations,  peer instruction, and  whole class-discussion in which the teacher serves as a moderator.
  • 7. THE SHIFT OF TEACHER’S ROLE  from dispensing information to facilitating learning,  from that of director to that of catalyst and coach.
  • 8. TECHNOLOGY-RICH CLASSROOM ENVIRONMENTS  The most fundamental consequences of changes in patterns of instruction is the emergence of a new classroom dynamic in which teachers and students become natural partners in developing mathematical ideas and solving mathematical problems.
  • 9. DECREASED ATTENTION TO  Rote memorization of facts and procedures  Extended periods of individual seatwork practicing routine tasks  Instruction by teacher exposition  Paper and pencil manipulative skill work  The relegation of testing to an adjunct role with the sole purpose of assigning grades
  • 10. INCREASED ATTENTION TO  The active involvement of students in constructing and applying mathematical ideas  Problem solving as a means as well as a goal of instruction  Effective questioning techniques that promote student interaction  The use of a variety of instructional formats  The use of calculators and computers as tools for learning and doing mathematics
  • 11. INCREASED ATTENTION TO  Student communication of mathematical ideas orally and in writing  The establishment and application of interrelatedness of mathematical topics  The systematic maintenance of student learning and embedding review in the context of new topics and problem situation  The assessment of learning as integral part of instruction
  • 12. PROBLEM SOLVING  Use, with increasing confidence, problem- solving approaches to investigate and understand mathematical content;  Apply integrated mathematical problem-solving strategies to solve problems from within and outside mathematics;  Recognize and formulate problems from situations within and outside mathematics;  Apply the process of mathematical modeling to real-world problem situations.

Notes de l'éditeur

  1. Most of the students feel that there are so many formulas to remember in Trigonometry. It makes them frequently feel confused which one fix to use in solving a problem. In addition, they always have misconception on algebraic properties of trigonometric forms. For example, they frequently write sin 2x to be equal to 2 sin x. Moreover some of them also consider that sin2x equals to sin 2x. The most difficult one for them is the way and in what condition they can apply their knowledge.