Appetizers and Lessons for Mathematics and Reason  ( Français)  
www.whyslopes.com            Back ]
 Logic mastery is key to easing or avoiding learning difficulties in work & studies. 

Online Volumes (Book Orders)
1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3.
Why Slopes & More Math 1995

Site  Folders for Instructors & Adults
A. Public Policy Essays
B.  Mathematics  Education Essays  2006-7
C -Logic & Applied Math Program  
    for education,  June 22, 2008 
D. Quebec English Math Ed -  Standards to
 avoid  in course design & teacher education 
E. Help your child or teen
How TOs/ Ref.-08- 2008
1. Arithmetic Reference
2. Algebra 
3. More Algebra 
4. Geometry  
5. More Geometry
6. Calculus
7. Logics in Maths
Science Education   Back ]


Musings on Science Education

In schools,  the development of mathematics and its applications may be self-contained and peer review an immediate possibility. In contrast,  in science and technology, students are provide theories to follow with mathematical portions that provide repeatable and reproducible calculations/approximations. But lab experience nominally present to introduce scientific method or work habits, place almost all students in the difficult position of one-off hypothesis testing and one-off experiment reproduction.   

Experiments and measurements in science or technology have the goal of producing or duplicating a result or the have the goal of confirming or refuting a prediction, and thus restricting or expanding the limits or domain of applicability of a theory. One or both of the foregoing may be serve as general hypothesis testing, or technique testing.  That being said, lab experiences in schools may illustrate the use of some tools and methods, and so hint what is possible in general, and the notion of peer review and confirmation or refutation of scientific and technological claims. That being said, the science teacher has to be fairly selective in the assignment of lab work and in the identification of hypotheses.  Lab work should aim for confirmation that certain methods (equipment and procedures described) lead to confirmation or duplication of expected results.  There-in lies the hypothesis and hope for or expected conclusion. Lab work should also aim to familiarize students with lab equipment and procedures. 

Casting the mastery of a procedure as a lab experiment with hypothesis to formulate is not my liking - seems too much, unwarranted, an unjustified ritual. The development of science and technology appears to be limited to a plug-and-play approach (with the exception of students who get involved in research). 

 

LAMP (first draft, June 2008) a program for adult  and teen mathematics education

Mathematics education standards implied by calculus should be a factor, not the only one, yet not a forgotten nor hidden one in course design 

Area Intro
Introduction
Arithmetic
Geometry
Algebra
Logic
Calculus

Musings - More Ideas

More About LAMP
Evaluation
Maths Cultural Origins
First Nation Education
Modern Mathematics
Before LAMP
Problem Solving Skills Routine to Non
Instructional Concepts
Student Cooperation
Maths Extrinsic Origins
Science Education

For further musings or thoughts see site books.




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