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Investigate Head Start Math Instruction for students in Montreal. YOU are better than YOU think. Show yourself how:
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-/[]\- Logic chapters 1 to 5 re- appear not in sequence, as is or longer, in Volume 1A, Pattern Based Reason, Bon Appetite. Logic
Mastery Logic mastery makes the hard, easier. Logic mastery leads to better, stronger and richer comprehension. Logic mastery improves reading and writing. Logic mastery ease learning difficulties. Logic mastery gives a headstart. In sum, logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck. After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6;
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-/[]\- What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts. Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice. |
Lessons 1 to 9 and lesson 10 (its intro and the recommended readings) provide a thought-based foundation for many key skills and concepts. The lessons and lesson plans are arranged to build skills and concepts, and to give students a chance to review or learn material from previous More Online Resources.
Offline ResourceBarronsregent.com offers two books
These two books together cover senior high school mathematics topic in New York state, USA. These two books together provide a good base for mathematics 436 and 536 topics but the two books together miss some topics considered important in Quebec while covering others considered to be important in New York. Remarks for Students in Quebec in mathematics 436.The aim of this site area is to support English language learning and teaching in mathematics 436. The textbook for this course presents a few topics out of sequence and introduces symbols without any introduction or explanation. That and the unnecessary hard nature of the final examinations turns this course into a sadistic event in Quebec high school environment. My aim is to point to, if not provide, clearer and simpler explanations for many course topics. Some site lessons and lessons plans make the hard easier to learn and teach. An alternate textbook: I would suggest following works
for the use of English schools in Quebec, as is or translated. These two French language tomes offer clear, readable and logical development.
A ProtestThe approved pair of English language textbooks I and II written by Guy Breton et al. for mathematics 436 is incoherent. For example, the word define appears in Book 1, while the discussion of what is a definition appears only in Book 2. Moreover many or most key words and concepts appear in bold-face type, but are not clearly defined. It appears that some concepts are out of sequence and others appears in name only.
To see a clear and better model for the development of mathematical skills and concepts, one that a mathematician can appreciate in all or part, see Mathematique 436, Collection Mathophilie, Tome 1 et 2 - teachers may compensate for the two quibbles above. Quebec High School Geometry While the site treatment of Euclidean geometry is self-contained and sufficient for most of the proofs seen in final examinations, in order to fulfill obligations of a Quebec mathematics 436 instructor, I need to write a lesson or two to clarify matters, to show how assumptions in Euclidean geometry in the plane can be implied by assumptions about transformation geometry implicit or missing in Quebec textbooks. See next item. Including transformation geometry in Quebec high schools while most students have difficulty with fractions and algebra distract studies and instruction from key and missing material. Talking about composite transformation in the plane or space months or years before students have met functions and function composition points to a lack of synchronization between algebra and geometry in the official high school program. In Quebec mathematics courses, the emphasis of transformation geometry (dilatations, translations, rotations and reflections) begins in secondary II an continues through secondary III and now secondary IV. While this chain of reasons can lead to properties of transformations and hence an alternate base for proofs in Euclidean geometry, college level instruction in mathematics does not require the study of transformation geometry.
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