* TMT * Technology and Mathematics for Teachers * TMT *

* A unique and holistic approach to fundamental mathematics *

Technology and Mathematics for Teachers (TMT) is humble patterned after the

The Teaching of Mathematics… taught by Dr. Kenneth Cummins (KSU & NSF).

Reference: Ohio Council of Teachers of Mathematics (OCTM) Ohio Milestones * 1803 to 2003

The Arithmetic Section or Number/Operations Section which is the first four Modules of

Technology and Mathematics for Teachers provides a unique and holistic approach to

teaching and learning Mathematics. It is an outgrowth of many years of teaching both

low and high level classes, providing seminars, workshops and courses in Mathematics.

The Arithmetic/Number section has been designed to assist students in the development of

problem solving with a variety of problems and operations, which is similar to many tests.

These first four modules create eager & enthusiastic students since students are empowered

by grading their own problem sets & correcting mistakes then most important collaborating

with fellow students for further development or more significant acting as tutor with others.

Module One is designed to generate success and confidence since problems are grouped

and uniquely created with no borrow or carry, no reducing or changing, easy and simple.

Problems are fashioned to require the minimal effort thus concentrating on the variety

and enticing students to complete many more problem sets with success beyond belief.

Each Module has eight types of problems with four basic operations thus providing a

fundamental overview of the numbers & operations necessary for proficiency in basic

Computational knowledge and skills. Conceptual knowledge and skill will augment

Mathematics sessions with verbal definitions and visual examples thus providing

a very comprehensive as well as collaborative learning experience for all students.

Each Module advances previous problem sets with minor adjustments in difficulty

to scaffold initial problem set but still maintain motivation for continual work.

Each Module increases the difficulty level within the Module itself by rearranging

the original problem sets (A,B,C,D) into problem sets (E,F,G,H). These later sets

are exactly the same problems as the first four sets but completely rearranged.

Teaching and Mathematics for Teachers provides comprehensive and organized

problems in the first module therefore students view them in a holistic manner.

Again in Module One: Numbers do not require borrow or carry, Fractions and

Mixed Fractions require no common denominator or reducing. Exponents and

Square Roots are introduced in such a simple and easy manner to provide very

exciting and engaging topics, which are so important for later use in Algebra.

Decimal Problems are presented in both small and mixed denominations and

again, no carry or borrow is expected and no requirement to line up decimals.

Ratios, Proportions, and Percents are presented in a simple and easy approach

which is handled easily by students via previous knowledge of simple fractions.

Student acceptance to this variety of topics as opposed to a homogeneous order

leads to excitement and success as well as the accomplishment of high grades.

The variety of problems and unequalled success are attributes of TMT which

motivate and engage students to be self-learners as well as life-long learners.

The uniquely designed as well as carefully created progressive problem sets

foster success and promote self-esteem in students and even many teachers.

Individually, in groups or as a class, presentations on basic mathematics concepts

can be interactively discussed & explained. Later students are expected to create

their interpretation of these concepts using traditional text or graphic organizer.

All modules provide many Pre-tests, Tests, Post-Tests promoting Mastery Learning.

Another good characteristic of TMT is the co-existence with traditional Mathematics.

Active involvement and empowerment of students provided by TMT is truly awesome.

TMT not only presents Fundamental Numbers and Operations, Basic Algebra, Basic

Geometry, Fundamental Measurement and Fundamental Data Analysis in traditional

manner but also provides a contemporary 21st Century environment via the Internet.

Students use Basic or Scientific calculator supplied with any PC Operating System.

Basic or Scientific calculator should be as a ShortCut or Alias on working Desktop.

It would be best Advanced Students to use Lundin Graphic Calculator Free Online!

All computational and conceptual materilas on TMT Web Site are free to all teachers.

This would not include materials that are presented or viewed from linked web sites

unless materials are stated, at the resident web site, to be free for Educational Use.

A request for any and all using TMT materials is that credit of creation be respected.

“Until Basic Knowledge and Skills become innate within a student

Higher Cognitive Knowledge and Skills are difficult to attain.”

@ @ Benjamin Bloom @ @

Tom Love * Malone College * Spring 2006