Improving Teaching Methods in Mathematics

in Primary Education

Fadjar Shadiq, M.App.Scfadjar_p3g@yahoo.com

www.fadjarp3g.wordpress.com

PowerPoint Presented on JICA training, “Improving Teaching

Methods in Mathematics in Primary Education”

University of Tsukuba, Japan, February 12, 2013

Personal Identity

Place and Date of Birth: Sumenep - Indonesia, 20-4-55

Education: Unesa (Indonesia) and

Curtin University of Technology, Perth, WA

Teaching Experience:

SHS Mathematics Teacher and Instructor

Deputy Director for Administration SEMEO QITEP in Mathematics

(+62 274)880762; +62 8156896973

fadjar_p3g@yahoo.com & www.fadjarp3g.wordpress.com

Name: Fadjar Shadiq, M.App.Sc

SEAMEO (Southeast

Asian Minister of Educ

Organization) Member

Countries

SEAMEO QITEP in

Math

Pythagoras

Your Comment?

(NCTM, 1973:235)

6 green and 7 orange 7 green and 6 orange

Playing With Numbers1.Choose any three-digit number, the hundreds digit is minimally

two more than the unit digit (Ex. 862 as the first number)

2.Change the position of the hundreds digit and the unit digits (Ex. 268 as the second number)

3.Subtract the second number from the first number (Ex. 862 – 268 =

594)4.Do the same procedure in number 2 for the answer in

number 3 (Ex. 495)5.Do addition. What is the result?

1089? Why?

Mathematics is important for us, however some students do not

want to learn it.

Even dan Ball (2009:1): “ ... teachers are key to students’

opportunities to learn mathematics.”

Why? How to Help Our Children?

Which Number is the Easiest to Learn?

37.131.51231.117.53223.571.113

Why?How to Help Our Children Learn?

Meaningful LearningLearning with Understanding

Constructivism

Students should construct their knowledge based on their ‘previous/prior knowledge’

“Each problem that I solved became a rule which served afterwards to solve

other problems.”  

“If I found any new truths in the sciences, I can say that they all follow

from, or depend on, five or six principal problems which I succeeded in solving and which I regard as so many battles where the fortune of war was on my

side.”

Descartes, CEuvres, vol. VI, pp.20-21 & p,67

Developing mathematical thinking has been a major objective of mathematics

education (Isoda, viii).The objective of mathematics in

Indonesia: “Learners have a positive attitude and personal qualities needed

to succeed in life, and has the knowledge and basic mathematics skills in communicating, arguing, and problem solving in using mathematics needed in

their daily life and for further education.” (2013 Curriculum).

The Importance of Thinking

In Japan the purpose of education (Isoda & Katagiri, 2012:31) is as follows.

 

"... To develop qualifications and competencies in each individual school child, including the ability to find issues by oneself, to learn by oneself, to think by oneself, to make decisions and to act

independently. So that each child or student can solve problems more

skillfully, regardless of how society might change in the future."

Learn How to Learn/Independent L

The Questions:

1.How to Help Our Students to Learn Mathematics

Meaningfully?2.How to Help Our Students to

Think?3. How to Help Our Students to

be an Independent Learner?

What is the Result?Why? Only Let Our Students to

Memorize?

How to Facilitate Students to Learn with Understanding and Facilitate

Them to Think and be Independent Learners?

5 – (– 3) = ….

5 – 4 = ….5 – 3 = ….5 – 2 = ….5 – 1 = ….5 – 0 = ….

Start with activity/task that student already know

Let students to explore Inductive deductive

Let students to communicate

The PSA Includes

1. Enabling students to apply and extend the learned ideas to new

problem situation by/for themselves 2. Teacher must accept any ideas of children if it is originated from what

they already learned but allows them to talk on their demand

Masami Isoda (2011)

How many squares are there in this diagram?

(Isoda & Katagiri, 2012:31)How do you teach your students?What are the advantages? Disadvantages?

How to improve the method?

How many squares are there in this diagram?

The Preferred Method (Isoda & Katagiri, 2012:31)

1. Clarification of the task #1 All of the squares

2. Clarification of the task #2 Let them to think the best way of counting (better

and easier)3. Realizing the benefit of sorting

4. Knowing the benefit of encoding (naming)

5. Validating the correctness of result6. Coming up with a more accurate and

convenient counting method

Start with Task/Activity Open Ended

Let Students to Explore see Math Attitudes (Mindset)

Inductive, Analogy, Deductive, and others see Math Methods in General

(Source: Isoda & Katagiri, 2012:50-52)

How do We Help Our Students to Think?

The first pattern consist of three matches. How many matches

are there in the tenth and hundredth pattern?

How many cubes are needed in building number 4, 10, and 100?

Teachers need to understand the importance of math

thinking. Teachers cannot teach what they themselves do not

understand.(Isoda & Katagiri, 2012:37)

Teachers need to experience in ways that they will be expected

to teach it..

How to Change the Teaching Practice?

Lesson study is a system of planning and delivering teaching and learning that is designed to

challenge teachers to innovate their teaching approaches, and to recognize the possibilities of

intellectual and responsible growth of learners while fostering self confidence in all concerned.

(Stacey, Tall, Isoda, Imprasitha, 2012:5)

Why Lesson Study?

Subanar, Aggraeni, Iryanti, Shadiq, and Sukarman (2011:21) stated:

The three-step of lesson study: ‘Plan’, ‘Do’ and ‘See’ activities are very important in enhancing the quality of any aspect of the teaching and learning process in the

classroom.

Why Lesson Study?

Even R.; Ball, D.L. (2009). Setting the stage for the ICMI study on the professional education and development of teachers of mathematics. In Even R.; Ball, D.L. (Eds). The Professional Education and Development of Teachers of Mathematics. New York: Springer

Isoda, M. (2011). Joyful Mathematics Problem Solving Approach with Textbook Materials. Yogyakarta: SEAMEO QITEP in Mathematics.

Isoda, M. & Katagiri, S. (2012). Mathematical Thinking. Singapore: World Scientific. I personally recommend that all participants of this course have a copy of this book.

NCTM (1973). Instructional Aids in Mathematics. Washington D.C.: NCTM.

Reference