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Jean Piaget & Psychological Principles


Jean Piaget demonstrated that children pass through four stages of cognitive development reaching the ability to reason abstractly only at about puberty. While rates of development vary somewhat from child to child it is generally understood that reasoning by use of abstract symbols is beyond most preteens. But what is math if not reasoning by using symbols? The Mortensen approach decodes the mathematical language of symbols into a spatial reality that children are most comfortable with dealing. By teaching Math concepts using TactileMotorKinaesthetic experience and by enhancing their ability to VISUALIZE, the Mortensen method enables students of all ages to engage with Mathematics in previously untried ways. The results are immediate and undeniable. Building it (the problem) with Manipulatives, Drawing it, to enhance the experience, and to develop the student's ability to Visualize are key elements in the Mortensen method. More than any other single thing, enhancing the student's ability to SEE the problem, distinguishes the Mortensen method from any other.

So what do you need to start teaching math the Mortensen way?
The Handbook for Teaching Math with Manipulatives is 250 large pages of detailed, illustrated, easytoread instruction in employing the Mortensen method written by Canada's leading practitioner of the method. In an 8.5 by 11 inch format, it lays flat on the table for easy reference  no more stiffspined textbooks that need to be weighted down for handsfree use. Included are 200 pages of actual lessons on all topics from whole number operations to fractions to functions! Never be without a lesson again! Every lesson/example is fully illustrated. After all, this is a visual approach.
An idealized TeacherPupil dialogue is included in all lessons. If only the students would learn their part in the script! Key phrases in simple language are highlighted, giving the preferred verbalizations to transmit important math concepts. Actual student responses give experienced teachers the right track to runon. A consistent approach gives clarity to the pattern employed with all examples in the curriculum. Every example includes the steps of Build it with manipulatives, Draw it to develop Visualization, do the Notation, and Record the answer. Specific lessons on teaching Notation, e.g. algorithms for operations, occur throughout. Also a chapter on the teaching of algorithms of notation and the significance of the relationship between them and the spatial reality of the constructions is included. The psychology of employing manipulatives is explained. In particular the value of the tactile motorkinaesthetic experiences to learning mathematics is discussed. Order The Teacher's Handbook for Teaching Mathematics with Manipulatives right now, and I will include a 5hour VHS videotape of my workshop covering the entire Mortensen method using three different sets of manipulatives, at no extra charge! This videotape of my workshop, videotaped at the University of Calgary, is a $99 value by itself. But I'll include it FREE if you order within 30 days. Imagine being able to reference lessons from the curriculum, including: all operations: problem solving, decimals, algebra, fractions  and being able to watch the lesson being taught by "Canada's resident expert on Mortensen Math" at the same time!
Special Offer!
Purchase The Teacher's Handbook for Teaching Math with Manipulatives right away by Paypal and receive a very special audiotape!
Multiplication Facts are an undeniable foundation stone to learning math and the most enjoyable way of acquiring them is by means of songs and music. This audio tape of Jerry Mortensen himself playing keyboards and singing ten skip counting songs, which accompany his specially designed coloring books  very popular with younger learners, is a $10 value and I'll send it FREE if I receive your order within 30 days.
Yours sincerely,
Geoff White, B.Ed.
To Order:
The Teacher's Handbook for Teaching Math with Manipulatives
by Geoff White, B.Ed.
Order by email or Paypal
Paypal is preferred.
geoff @ geoffwhite.ws
Order by January 31, 2014 and receive, AT NO EXTRA CHARGE! the 5 hour VHS workshop videotape (a $99 value) and the Special audiotape of Jerry Mortensen performing Skip Count Songs! (a $10 value) ABSOLUTELY FREE!
Act now!
Orders in Canada & US, $79 + $20 S&H
Other: please inquire at geoff @ Geoffwhite.ws
If you prefer a PDF of The Method alone
(w/o 200 pages of illustrated lessons on all topics)
then send $25 and get it by return of email!
(MF, office hours) to: geoff @ geoffwhite.ws by Paypal.
 Purchasing Dilemmas  Products/Price List  Comparing Methods  Understanding  Mental Images  A Fractions Example  Psychological Principles at Work  SelfEsteem  Teacher's Role  Acquiring Meaning  A Philosophy of Teaching Math  A MathRich Environment  Main Page