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
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.