Welcome to my Homepage

**TOH TIN LAM**

**Email: tinlam.toh@nie.edu.sg**

**Tel: 67903898**

** **

**NEW: July 2017**

__AAM10B Calculus Course:__

Part Three: Fundamental Theorem of Calculus

**NEW !!!!**** MSM825 – For the section which
I ask you to prove, here are the three pages:**

__Courses I have taught/am teaching/will teach:__

__IN-SERVICE COURSE FOR
TEACHERS / ENRICHMENT COURSES FOR PUPILS__

**a. These are short courses to prepare inservice
teachers to handle their teaching requirements. These include prepare them
additional content **

**“top-up”
to face the challenges of the changing mathematics curriculum.**

**b. The enrichment courses for Secondary
School pupils include preparing the higher achieving pupils to handle higher
order thinking (HOT) problems, e.g. Mathematical Olympiad problems. Activitity-based
learning of Mathematics include allowing pupils to “play” and explore
mathematics by giving them more time for hands-on and exploring at their own
time own target.**

**The courses are described below.**

1) __Enrichment for Primary and Secondary
School Pupils__

a) Problem Solving Heuristics (Maths Olympiad Training)

b) Activity-based Learning of Mathematics

**2) NIE – MOE Workshop for Teachers**

**a) Teaching
of Vectors and Relative Velocity**

** b) Teaching
of Permutations and Combinations**

** c) Algebra
in Elementary Mathematics**

** d) Algebra
in Additional Mathematics**

** e) Teaching
of Additional Mathematics Algebra**

** f) A-Level
Problem Solving Course**

** g) Calculus
in Additional Mathematics**

** h) Teaching
of Calculus in Additional Mathematics**

** i) Calculus at A-Levels**

**3) Cluster Workshops on Additional mathematics topics and other topics**

** a) On Vectors and Relative Velocity**

** b) On Permutation
and Combination**

** c) General Problem Solving Heuristics (Maths Olympiad Training)**

** d) New Additional mathematics topics for 2007
Syllabus**

** e) General Trends for the new Mathematics
Curriculum**

** f) Mathematical Logical Thinking for
Teachers on Primary School Mathematical Olympiad**

** g) How to prepare your students for Mathematics Olympiad**

** **

4) __Mathematics Professional Development
Workshop for Teachers, Sampoerna Foundation,
Indonesia__

Exploratory
Files on GSP

a. Relation between the circumference and
radius of a circle. Click here.

GSP Task 1 : click here.

GSP
Task 2 : click here.

GSP
Task 3(A): click here.

GSP
Task 3(B): click here.

GSP
Task 3(C): click here.

Activity
for the second part of the third day workshop:

*This activity only
makes sense in relation to the worksheet provided during the lesson.*

Refer
to the worksheets provided during the lesson.
Click here.

5) __Teachers’ Workshop at Conferences__

a) Problem Solving in A-Levels, during
Mathematics Teachers’ Conference 2005 at National Institute of Education

b) Problem Solving in A-Levels, during Asian
Mathematics Conference 2005 at

c) Mathematical Reasoning in Algebra, during
Mathematics Teachers’ Conference 2006 at National Institute of Education

d) Using Mathematics to make Decisions,
during Mathematics Teachers’ Conference 2008 at National Institute of Education

6) __Curriculum Update and Pedagogy Workshop
for private tutors from People Association__

a) Curriculum Update on Primary School Mathematics Curriculum

b) Pedagogy issues in Teaching Primary School Mathematics

7) __Pedagogy for Private Tuition Teachers
from SINDA__

a) Techniques
of Small Group Teaching in Mathematics, 2009

8) __Professional Development Courses for Army
Officers and Specialists__

a) Curriculum Development and Design: Theory and Practice

b) Small Group Teaching

c) Introduction to the Assessment of Learning

__PEDAGOGICAL COURSE__

These
are the courses in NIE offered to the undergraduate students (pre-service
teachers) regarding the teaching of Mathematics at both the primary and the
Secondary School level.

The courses are described below:

9) PCM513 / PCM 514 : Teaching and Learning of Secondary School Mathematics

** QCM520
/ QCM521 : Teaching and Learning of Secondary School Mathematics**

**10) QCM 530 / 531: Teaching and Learning of Secondary School
Mathematics at Lower Secondary Level**

**11) CCM201:
Teaching and Learning of Primary School Mathematics **

** Lecture
Notes on Lesson Planning, please click here**

** Lecture
Notes on Learning Theory, please click here**

**12)
QCM540: Teaching and Learning of
A-Level Mathematics**

__MATHEMATICS CONTENT COURSE__

**These are the mathematics content courses meant for undergraduate
Mathematics students. **

**13) ETM101: Curriculum Content in Mathematics**

**14) BAM 321
: Mathematical Methods I**

**15) CAM 334:
Analysis I**

**16) CAM330 /
AAM331: Mathematical Methods I**

**(Semester I in 2006/2007). To download lecture notes, please click here. Password is needed, so please check with me.**

__Current Research Interest:__

**The
following are my current areas of research.
**

**1)
****Generalized
Riemann integration and its applications to Stochastic Integrals**

**2)
****Teaching
of Problem Solving at Advanced Level Mathematics**

**3)
****In-service
Mathematics Teachers’ Content Knowledge**

**4)
****Pupils’
Mathematics Self-Concept and Social Climate of Classroom**

__Members of Professional Bodies__

**1. Exco member of Association of Mathematics Educators (AME),
2006 - present**

**2. Assistant
Editor, Singapore Mathematics Society (SMS), 2005 – present**

** Activities
associated with the Professional Bodies**

**a.
****Judge of the SMS Project Festivals for
Secondary Schools, 2004 – 2006**

**b.
****Member of SMO (**

**c.
****Judge of the Sudoku Competitions jointly
organized by SMS and PA, 2006 **

__Speaking at Conferences__

**1. ****Toh T.L., Henstock-Kurzweil integration and Stochastic Differential Equations, Stochastic Processes and Applications 31,
Paris, 2006.**

**2. ****Toh T.L., Mathematical
Reasoning from O-Levels to A-Levels, Mathematics Teachers’ Conference 2006,
National Institute of Education, 2006.
(Keynote Address)**

**3. ****Toh T.L., On
Henstock’s version of Multiple Stochastic Integral,
Asian Mathematics Conference, 2005, National
University of **

**4. ****Toh T.L., Use
of Geometer’s Sketchpad to teach Mechanics Concepts in Advanced Level Mathematics,
ACTM 2004.**

**5. ****Toh T.L., Henstock approach to Multiple Wiener Integral, Paper presented at the
Symposium on Latest Advances in the Theory of Integration in honour of Professor Lee Peng Yee on his 65^{th}
birthday, 2004.**

**6. ****Toh T.L., On
Henstock-Kurzweil integration and
Integration-by-Parts Formula for Stochastic Integral, Stochastic Processes
and Applications 28, **

**7. ****Dong F.M., Lee T.Y., Tay E.G., Toh T.L., Performance
of **

**8. ****Toh T.L., Chew T.S., A Variational
Approach to Ito’s Integral, Proceedings of the SAP’s 98, Taiwan, P291-2999,
World Scientific, Singapore, 1999.**

__Some of my Publications (incomplete list):__

__Refereed Journal Articles__

**9. ****Toh T.L., Contextual
Approach in Teaching Mathematics: An Example using the sum of series of
Positive Integers, International Journal of Mathematics Education in
Science and Technology, (accepted for publication)**

**10.
****Toh T.L.,
Chew T.S., On Belated Differentiation and
a Characterization of Henstock-Kurzweil-Ito Integrable Processes, Mathematical Bohemica,
Vol 130, 2005, P63-73.**

**11.
****Toh T.L., On
in-service Mathematics teachers' content knowledge on kinematics, Asia-Pacific Forum on Science Learning
and Teaching, Vol 6(2), 2005.**

**12.
****Toh T.L.,
Chew T.S., On Henstock’s
Multiple Wiener Integral and Henstock’s Version of
Hu-Meyer Theorem, Journal of Mathematical and Computer Modeling, Vol 42,
2005, P139 – 149.**

**13.
****Toh T.L.,
Chew T.S., On Ito-Kurzweil-Henstock integral and integration-by-part formula,
Czechoslovak Mathematical Journal, Vol 55 (103), 2005, P653 – 663.**

**14.
****Toh T.L.,
Chew T.S., ON Henstock-Fubini’s
Theorem for Multiple Stochastic Integral, Real Analysis Exchange, Vol 30,
2004/2005, P295 – 310.**

**15.
****Toh T.L., On
Application of Vectors to Relative Velocity, International Journal of
Mathematics Education in Science and Technology, Vol 35(6), 2004, P906 – 911.**

**16.
****Dong F.M.,
Lee T.Y., Leong Y.H., Tay E.G., Toh T.L., E
Wood, Generalization of a Geometry
problem, Mathematical Medley, 2004.**

**17.
****Toh T.L.,
Chew T.S., The Riemann approach to
Multiple Wiener Integral, Real Analysis Exchange, Vol 29(1), 2003/2004, PP
275-289.**

**18.
****Toh T.L., On Using Geometer’s Sketchpad to Teach
Relative Velocity, Asia-Pacific Forum on Science Learning and Teaching, Vol
4(2), 2003.**

**19.
****Lee T.Y., ****Tay**** E.G., Toh T.L., Dong F.M., Multi-proofs of a Geometric Problem, Mathematical
Medley, Vol 30(1), 2003, Pp 43-53.**

**20.
****Tay**** E.G., Toh
T.L., Dong F.M., Lee T.Y., The
Convergence of a Linear Recursive Sequence, International Journal of
Mathematics Education in Science and Technology, Vol 35(1), P51-63, 2004.**

**21.
****Toh T.L., On
Teaching Binomial Series: More Meaning and Less Drill, International
Journal of Mathematics Education in Science and Technology, 2002.**

**22.
****Toh T.L.,
Chew T.S., The Riemann Approach to Stochastic Integration using Non-Uniform
Meshes, Mathematical Analysis and Applications, 2002. **

**23.
****Toh T.L.,
Chew T.S., Tay J.Y., The Non-Uniform Riemann Approach to Ito’s Integral,
Real Analysis Exchange, Vol 27(2), 2001/2002, Pp 495-514.**

**24.
****Toh T.L., What
is spoken in a Junior College Mathematics Lecture?, Mathematics Educator,
Vol 6 No. 2, P113 – 119, 2002.**

**25.
****Toh T.L.,
Chew T.S., On Functional Differential Equations with Unbounded Delay and Henstock-Kurzweil Integrals, **

__Non-refereed Journal
Articles related to Mathematics Education__

**26.
****Toh T.L., Some issues on Partial Fractions, MathsBuzz, National Institute of Education, May 2006.**

**27.
****Toh T.L., Distinguishable and Indistinguishable
objects: from combinatorics to Probability, MathsBuzz,
National Institute of Education, October 2005.**

**28.
****Toh T.L., On Teaching of Vectors and Relative Velocity,
MathsBuzz, National Institute of Education, October
2004.**

**29.
****Toh T.L., On Permutation and Combination, MathsBuzz, National Institute of Education, May 2004.**

__Books related to the
in-service courses__

**30.
****Toh T.L., Algebra Resources for Secondary School
Teachers, McGraw-Hill Education (Asia), **

**31.
****Toh T.L., Useful Mathematics for Secondary School
Teachers, McGraw-Hill Education (Asia), **

**32.
****Toh T.L., Teaching of Vectors and Relative Velocity,
McGraw-Hill Education (Asia), **