SCIENTIFIC WORK RELATED TO THE THESIS
Article: Developing computational capacity for students in teaching the chapter "Excess functions, exponential functions and logarithmic functions" (Calculus grade 12) published in the special issue of Education Magazine April 2019.
APPENDIX 1
TEACHER OPINION FORM
(The survey is used for scientific research and is not intended to evaluate teachers. Thank you, teachers, for participating in the survey)
Please give your opinion by marking (x) in the boxes you think are appropriate.
Question 1: What do you understand by computational ability?
A. Can use calculations in study and in life; Understand and be able to use knowledge and skills about measurement and estimation
in familiar situations.
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B. Can use mathematical terms, symbols, properties of numbers and geometric figures; Can use mathematical statistics in learning and in some simple everyday situations; visualize and have Can sketch the shapes of objects in the surrounding environment. |
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C. Can use measuring, drawing, and calculating tools; be able to use handheld computers in study as well as in daily life; step started using computers to calculate in learning. |
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D. All of the above |
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Question 2: How do you evaluate the practicality of calculating ability through teaching factorial functions, exponential functions and logarithmic functions?
A. Very necessary
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B. Necessary |
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C. Not necessary |
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Question 3: When teaching solving exercises on factorial functions, exponential functions and logarithmic functions, what difficulties do students often encounter?
A. Case division
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B. Solve problems using logical reasoning and essay |
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C. Analysis and synthesis |
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D. Students use computers poorly in solving math problems |
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E.Other opinions |
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Question 4: Evaluate the importance of the exercise types Excess functions, exponential functions and logarithmic functions, GT 12, High School:
Math format
Level |
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Very important important |
Mandarin important |
Are not important |
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Calculate and simplify expressions |
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Find the domain of the function |
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Solve PT mǜ and PT logarithm |
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Solve BPT mǜ and BPT logarithm |
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Realistic math problems |
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Another form ................................................................ .......... |
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Question 5: How do you evaluate the effectiveness of developing computational ability in teaching exercises on factorial functions, exponential functions and logarithmic functions through a system of suggested questions? Directions, are there answers suitable to the students' abilities?
A. Very effective
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B. Efficiency |
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C. Normal |
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Question 6: Chapter content Exponential functions, exponential functions and logarithmic functions often appear in the National High School Exam and other exams, so teachers often invest a lot in this content.
A. Strongly agree
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B. Agree |
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C. Disagree |
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Question 7: Developing computational ability in teaching exercises of exponential functions, exponential functions and logarithmic functions in calculus grade 12 in high school will take a lot of time.
A. Strongly agree
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B. Agree |
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C. Disagree |
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APPENDIX 2
STUDENT OPINION FORM
(The survey is used for scientific research, not for student evaluation. Thank you for participating in the survey)
Please give your opinion by marking (x) in the appropriate box in the table below for each question.
Question 1: Do you like studying the chapter Factorial functions, exponential functions and logarithmic functions in calculus grade 12?
A. Like
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B. Dislike |
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C. Don't like it yet |
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Question 2: When solving exercises in the chapter on factorial functions, exponential functions and logarithmic functions, I often encounter difficulties and mistakes.
A. Strongly agree
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B. Agree |
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C. Disagree |
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Question 3: Regarding the content of the chapter on Factorial functions, exponential functions and logarithmic functions in calculus grade 12, which way do you like to learn?
A. Study in groups
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B. Study alone |
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C. Depends on each content |
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Question 4: When using a calculator to solve exercises in the chapter on factorial functions, exponential functions and logarithmic functions in calculus grade 12, it will be faster.
A. Strongly agree
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B. Agree |
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C. Disagree |
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Question 5: Content of chapter exercises Exponential functions, exponential functions and logarithmic functions in calculus grade 12 have many practical applications.
A. Strongly agree
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B. Agree |
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C. Disagree |
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APPENDIX 3
TEACHER: REVIEW CHAPTER II (CONTROL CLASS)
I. OBJECTIVES
Knowledge
Exponential, mǜ and lgarithmic functions.
Rules for calculating factorials, mǜ and logarithms.
Solve equations, inequalities and logarithms
Skills
Investigate exponential functions, mǜ functions, and logarithmic functions.
Calculate expressions: Factor, mǜ, logarithm
Solve equations and inequalities.
Attitude
Practice carefulness and accuracy. Think mathematical problems logically and systematically.
II. PREPARE
Teacher: Lesson plan. Exercise system.
Students: Textbooks, notebooks. Review all knowledge of chapter II
III. TEACHING ACTIVITIES
1. Stabilize the organization : Check class size.
2. Check the lesson:
1. Basic formulas
a n 1
a n
a l og a b b ;
log a
a
a . a a
log b log b
a
a
log a c log a b log a c
n
m a n a m
; y = log a x
a
a
log a
a
b
log a
a
first
log b
b
b
a
a
b
a
a
a
log ( b . c ) log b log c
first
log b log a b
a
a
a
a
( ab ) a . b
( a m ) n a m . n ( a n ) m
Change the base
log b log c b
c
Derivative
( x n )' = nx n-1
( e x )' = e x
( a x )' = a x .lna
( u n )' = nu n-1 .u'
( e u )' = e u .u'
( a u )' = a u .lna.u'
( log x )' =
first
x .ln a
( log u )' =
1 . u '
u.ln a
2. Definite set of redundant functions: y = u
+ positive integer (Z + ) => u belongs to R
+ vowel or equal to 0 => u is different from 0
+ is not integer => u > 0
3. Function mǜ : y = a x
+ TXĐ: D = R
+ The function is uniform when a > 1
+ Inverse function when 0 < a < 1