Science of Creativity in the world has been formed for a long time. The Greek mathematician, Pappop, founded the “Science of Creativity”, which he named Heuristics. Alfred Binet is a French psychologist who invented the first practical IQ test. In 1939, A. Osborn (American) proposed a method of brain stimulation or brainstorming. In 1926, F. Kunze proposed the target audience method. In 1942, the method of morphological analysis was proposed by the Swiss. It was developed by Fritz Zwicky. The person who has made a lot of contributions to developing innovative science is Genric Sanlovic AltshulerAnthony. "Tony" Peter Buzan is the father of the Mind map method. In 1983, a professor of psychology called Howard Gardner of Harvard University published the theory of " Multiple Intelligences". In 1992, Habits of Mind was introduced by PhD. Arthur Costa, Honorary Professor at California State University. Today, the research works of thought and creativity have been given appropriate attention and have brought high efficiency in many fields in many countries around the world.
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ng research objects and coding them with a kind of "language" that is both intuitive and specific. Therefore, teaching by algorithm makes the process of information transmission faster and more accurate.
1.2.4.4. Basis of control theory
Application of invented algorithm in the teaching process will enhance the inverse relationship between teachers and students because the invented algorithm promotes students' creative thinking, independence and autonomy.
1.2.4.5. The basis of cognitive psychology and psychology at different ages
1.3. Practical basis
1.3.1. Actual awareness of teachers' reasoning
Investigation of the theoretical cognitive status of teachers includes perceptions of concepts, roles, algorithmic classification of teachers in high schools today.
1.3.2. Practices of using algorithm of teachers in teaching Genetics
Practical investigations of algorithmic use include the extent, benefits and difficulties of using algorithm of teacher.
The results show that teaching with the use of algorithm is rarely applied by teachers, and if it is applied, it will only be used in a very small amount of content in certain stages of teaching. Teachers still have many confusion and difficulties when teaching algorithms, so algorithm teaching has not been widely implemented and conducted regularly. Teachers often use existing processes, the design of algorithms appropriate to the teacher's targets and subjects of teaching is still limited.
Chapter 2. APPLICATION OF INVENTED ALGORITHM IN TEACHING GENETICS (BIOLOGY 12 - HIGH SCHOOL)
2.1. Analysis of structure and content of Genetics part (Biology 12 - High School)
In order to apply the algorithm in teaching genetics properly and effectively, we have conducted the content analysis of each chapter in genetics part to determine the content that can apply algorithms and apply them in theoretical teaching or genetic exercises.
2.2. Developing algorithm for teaching Genetics (Biology 12 - High School)
2.2.1. Principles of developing algorithm for teaching Genetics (Biology 12 - High School)
2.2.1.1. Conformity with the program objectives and content
2.2.1.2. Guarantee of unity between science and education
2.2.1.3. User friendly
2.2.2. Process of developing algorithm for teaching Genetics part (Biology 12)
2.2.2.1. Process of developing recognition algorithm
Process of developing recognition algorithm
Step 1: Determination of knowledge target
Step 2: Description algorithmic content
Step 3: Preparation of algorithmic records
Step 4: Algorithm is active
Figure 2.2. Process of developing recognition algorithm
Example: Developing recognition algorithm for Mendelian inheritance
Step 1: Determination of knowledge target
Students: Present the essential signs of Mendel's laws of inheritance; Identify the Mendel's laws of inheritance in genetic exercises
Step 2: Description algorithmic content
Mendelian inheritance
Inherited by strict rules
The characteristic is equally expressed in both sexes
The result of two factor cross is the same
Each pair of genes specifies a pair of characters
Each pair of genes lies on a different homologous chromosome
Complete dominant - recessive
Step 3: Preparation of algorithmic records
It is not Mendel's laws of inheritance
It is Mendel's laws of inheritance
The result of two factor cross is the same
The characteristic is equally expressed in both sexes
Each pair of genes lies on a different homologous chromosome
Each pair of genes lies on a different homologous chromosome
Complete dominant - recessive
W
W
W
W
S
Đ
R
R
R
Figure 2.3. Recognition algorithm for Mendelian inheritance
Step 4: Algorithm is active
Based on the specific problem requirements, students can follow the steps of the algorithmic record to identify the Mendel's laws of inheritance.
2.2.2.2. Process of developing transform algorithm
The author proposes the design process for the transform algorithm of genetics part as follows:
Step 1: Analysis of problems
Step 3: Development of a problem solving program
Step 4: Solving problems according to the established program
Step 2: Establishment of relationship between hypothesis and conclusion
Checking
Wrong
Conclusion
Right
Illustrative example
Exercise: In cow, fur color characters is due to a gene consisting of two genetic alleles that follow Mendel's Law of Segregation of genes. A black-furred bull mated with the cows in the following crosses:
Cross 1: ♂ black- furred (1) x ♀ brown- furred (2) → 1 black- furredcalf (5), 1 brown-haired calf (6).
Cross 2: ♂ black- furred (1) x ♀ black- furred (3) → all of them are black- furred calves (7).
Cross 3: ♂ black- furred (1) x ♀ black- furred (4) → 1 black- furred calf (8), 1 brown- furred calf (9).
a. Determine the type of genes of cows and calves in the above crosses?
b. If the cow and bull in the third cross continue mating, what is the probability in the offspring that there are 3 calves including 2 brown- furred calves?
Step 1: Analysis of problems
In the exercise, there are 3 crosses of a bull with 3 different cows. In order to identify the type of genes of cows and calves and solve other requirements of the problem, students need to find a cross to help them detect dominance, recessive and draw cross diagram.
Step 2: Establishment of relationship between hypothesis and conclusion
Students can make a relationship between hypothesis and conclusion as follows:
Cross 3: Black x Black => Black + Brown
Identify dominance character and recessive character
Identify the type of genes of individuals
Probability of offspring of cross 2
Cross 1: Black x vàng => đen + Brown
Cross 2: Black x Black => 100% Black
Hypothesis
Conclusion
Step 3: Development of a problem solving program
Hypothesis
Identify dominance character and recessive character
Convention of genes
Draw cross diagram of cross 2
Calculate the probability of offspring
Identify the type of genes of individuals
Đ
S
Conclusion
Step 4: Solving problems according to the established program
Once a problem solving program has been developed, students only need to follow the steps of the solving program to reach a conclusion:
2.2.3 System of algorithms which have been built
2.2.3.1. Some recognition algorithms
• Recognition algorithms for gene concepts (Figure 2.5)
• Recognition algorithms for mutation concept (Figure 2.6)
• Recognition algorithms for types of chromosome mutations (Figure 2.7)
• Recognition algorithms for of genetic linkage rule (Figure 2.8)
• Recognition algorithms for gene interaction rule (Figure 2.9)
• Recognition algorithms for sex linkage rule (Figure 2.10)
• Recognition algorithms for nuclear inheritance rule (Fig4ure 2.11)
2.2.3.2. Transform algorithm in Genetics part
• Problem solving program for Mendel's laws of inheritance (Figure 2.12)
• Problem solving program for of genetic linkage rule (Figure 2.13)
• Problem solving program for gene interaction rule (Figure 2.14)
• Problem solving program for identifying the genetic structure of self-pollination populations (Figure 2.15)
• Problem solving program for identifying the genetic structure of panmixia populations (Figure 2.16)
• Problem solving program for pedigree genetics (Figure 2.17)
2.3. Using algorithms in teaching Genetics (Biology 12 - High School)
2.3.1 Principles of using algorithms in teaching Genetics (Biology 12 - High School)
2.3.1.1. Principle of unity between teaching and learning
2.3.1.3. Competence’s practice in applying knowledge to solve problems
2.3.1.2. Promotion of students' activeness and creativity
2.3.2. Using algorithms in teaching Genetics (Biology 12 - High School)
2.3.2.1. Using algorithms in teaching Genetics theory
In order to apply the algorithm in teaching genetics theory effectively, we have proposed a two-stage use process:
Stage 1
Stage 2
Use algorithmic records built by teachers to organize teaching activities
Instruct students to develop their own algorithmic records
Step 1: State targets of the lesson
Step 2: Analyze the teaching content
Step 3: Teachers provide algorithmic records and instructions how to use
Step 4: Practice and apply them
Step 1: State targets of the lesson
Step 2: Organize students to analyze logical knowledge
Step 3: Instruct students to develop their own algorithmic records
Step 4: Comment and complete
Figure 2.18. The process of using algorithms in teaching genetic theory
Illustrative example of phase 1
Application of algorithm in teaching sex linkage genetic
Step 1: State targets of the lesson:
After finishing the lesson, students must:
- Identify the mechanism for sex determination, genetic characteristics of genes located on sex chromosomes.
- Present the genetic mechanism of genes located on sex chromosomes.
- Identify the sex linkage genetic rule in problems and situations.
Step 2: Analyze the teaching content
To learn about the sex linkage genetic rule, the knowledge map students need to grasp is: what is a sex chromosome, how does the sex chromosome affect the sex determination mechanism? What is sex linkage genetic? Why does sex linkage genetic happen? How does sex linkage genetic? What are the characteristics of sex linkage genetic? What is the meaning of sex linkage genetic?
Step 3: Teachers provide algorithmic records and instruction how to use
From the genetic characteristics of the sex linkage genetic rule, the teacher will introduce students the algorithmic records identifying the sex linkage genetic rule that have been designed by the teacher.
Genes on the Y chromosome in the part that do not have homologous regions on the X chromosome (crossed inheritance)
It is not sex linkage rule
Result of two-way cross
The expression characters are irregular in both sexes
The character appears only in heterogametic sex
W
Same
W
R
Different
R
Genes are located in the homologous regions of X and Y
Genes on the X chromosome in the part that do not have homologous regions on the Y chromosome (direct inheritance)
Teacher: The instructions for using the algorithmic record to identify the sex linkage genetic rule are as follows:
(1) The expression characters are irregular in both sexes. If the result is wrong, it is concluded that it is not sex linkage genetic rule. If it is right, go to step 2 or skip step 2 to go straight to step 3.
(2) Result of two-way cross: If result of two-way cross is the same, it is concluded that the expression characters is by the gene located on the homologous region of the X and Y chromosomes. If result of two-way cross is different, go to step 3.
(3) The character appears only in heterogametic sex (having XY chromosomes). If the result is right, it is concluded that it is due to genes on the Y chromosome in the part that do not have homologous regions on the X chromosome (direct inheritance). If it is wrong, the conclusion is it is due to genes on the X chromosome in the part that do not have homologous regions on the Y chromosome (crossed inheritance).
Step 4: Practice and apply them
The teacher asks students to come back to Morgan’s experiment to practice using algorithmic records
Students perform the request of the teacher individually.
- Expression characters are irregular in both sexes: Right → It is sex linkage genetic character.
- Result of two-way cross is different: Right
- The character appears in both sexes → The character is due to X chromosome gene in the part that do not have homologous allele on the Y chromosome.
Teacher assigns other exercise:
Exercise: Suppose a striped rooster breeds with a black-furred hen and all of their offspring (F1) is striped chickens. Next, F1 continue to breed with F1, F2 includes 50 striped chickens and 16 black-furred chickens and all black-furred chickens are hens. Which rule is fur color characters inherited?
Teachers ask students to discuss in groups to do the exercise or also assign home tasks for students.
Illustrative example
Developing recognition algorithms for nuclear inheritance rule
Step 1: Determine the target
Students need to identify targets: distinguish the nuclear inheritance rule
Step 2: Organize students to analyze logical knowledge
To organize students to analyze knowledge logic about nuclear inheritance rule, teachers can navigate by a system of questions such as:
- What factors govern nuclear inheritance rule?
- Which nuclear inheritance rule have you learned?
- What is the relationship between these genetic laws?
Students mobilize the learned knowledge to answer the suggested questions of teachers and find out the knowledge logic:
Step 3: Students develop their own algorithmic records
To organize students to design their own algorithmic records to recognize the nuclear inheritance rule, teachers can guide students:
(1) List the identifying signs of each genetic rule.
(2) Arrange individual signs to identify each rule.
Teachers can suggest students complete the following table:
Rule
Identifying signs
Two-way cross
Character expression in both sexes
The number of gene pairs per chromosome
The number of genes pairs of a pair of characters
Menden
Gene interaction
Genetic linkage
Sex linkage
(3) Algorithmic preliminary design algorithm
Students can use pencil to sketch out the algorithm on paper. Put the nature signs in order, draw arrows and find instructions to draw.
(4) Inspection and completion
2.3.2.2. Using algorithms in teaching Genetics exercises
Stage 1
Stage 2
Use algorithm to guide students to solve genetic exercises
Instruct students to develop their own algorithm for solving genetic exercises
Apply creative principles to develop and solve creative exercises
Stage 3
Level 1: Teacher s develop creative exercises for students to practice
Level 2: Teachers guide students to develop creative exercises
Step 1: Teacher selects exercises and assigns tasks
Step 2: Organize students establish the relationship between hypothesis and conclusion
Step 3: Teacher provides problem solving program
Step 4: Students solve problems according to the program
Step 1: Teacher selects exercises and assigns tasks
Step 2: Organize students establish the relationship between hypothesis and conclusion
Step 3: Organize students to develop their own problem solving program
Step 4: Comment and complete the problem solving program
Step 1: Select problem
Step 2: Identify and solve problems
Step 3: Teachers introduce creative exercises based on creative principles
Step 4: Develop solving programs and solve creative exercises
Step 1: Select problem
Step 2: Solve problems
Step 3: Organize students to develop their own creative exercises based on creative principles
Step 4: Students develop a program to solve the problem exercises
Step 5: Practice
Step 5: Practice
Step 5: Comment and conclude
Stage 1: Use algorithm to guide students to solve genetic exercises
Step 1: Teacher selects exercises and assigns tasks
Based on the targets of knowledge, skills, competencies to be achieved and based on the cognitive capacity of each student class, teachers choose appropriate exercises.
Step 2: Organize students establish the relationship between hypothesis and conclusion
The establishment of the relationship between the hypothesis and the conclusions is that the students analyze the problem to mobilize known knowledge, identify the requirements and think about how to solve the problem.
Step 3: Teacher provides problem solving program
In stage 1, teachers need to develop sample programs for students to familiarize themselves with the learning method and to learn how to build the next learning program.
Step 4: Students solve problems according to the program
For students with average and weak study ability, they will be more confident and more interested in learning than when they solve problems after being provided with solving programs, from which they will love the subject more. With good students, this can be considered as a stepping stone for them to accumulate more knowledge and experience to prepare for designing their own learning programs according to algorithm.
Stage 2: Instruct students to develop their own algorithm for solving genetic exercises
Step 1, step 2 of this stage is basically the same as stage 1.
Step 3: Organize students to develop their own problem solving program
In this step, when students design the algorithm themselves, the algorithms are the product of students' thinking process. Students think, write and draw by their own language, thus maximizing the potential of the brain. On the other hand, due to being self-created, it creates interest in learning for students. This method first helps students understand the lesson and memorize the lesson better, and then train them to think logically and coherently so that they know how to solve problems scientifically in other situations. This is the target of using algorithm in teaching to be achieved.
Step 4: Comment and complete the problem solving program
Teachers organize for students to report their results and lessons learned. Teachers synthesize ideas, then standardize to help students perfect the problem solving program. In this step, teachers can also motivate students to think by asking them to generalize the exercises into a general form.
Stage 3: Apply creative principles to develop and solve creative exercises
Level 1: Teachers develop creative exercises for students to practice
Step 1: Select problem
The selection of problems in this period is similar to the above two stages. Teachers also need to pay attention to the lesson objectives, student level to choose the problem accordingly.
Step 2: Identify and solve problems
The problem selected in step 1 is the starting problem. Teachers organize students to identify genetics part that problem belongs to.
Step 3: Teachers introduce creative exercises based on creative principles
When giving creative exercises, teachers should clearly state how the exercises are created and the creative principles on which the exercises are based so that students can easily visualize and think.
Step 4: Develop solving programs and solve creative exercises
Level 2: Teachers guide students to develop creative exercises
Basically, step 1 and step 2 in level 2 are the same as step 1 and step 2 in stage 1.
Step 3: Organize students to develop their own creative exercises
Based on the creative cycle of Razumovsky [35], based on the system of creative principles, the development of creative exercises in the dissertation is conducted as follows:
Concepts and rules
Starting problem
Develop methods to solve problems and find results
Creative principles
Make questions and answers
Creative problem
2.3.2.3. Using algorithms to enhance creative thinking and problem solving competence for students in teaching Genetics (Biology 12 - High School)
In teaching Genetics, the use of algorithms to enhance creative thinking and problem solving skills is most clearly revealed in teaching genetic exercises, especially when they develop and solve creative assignments.
The process of applying creative principles to guide students in solving creative exercises takes place according to the following process:
Creative exercise
Identification
Establish a relationship between hypothesis and conclusion
Propose the options
Choose the optimal plan
Result
Lesson
Creative principles
Evaluate
Perform
Comment
Analyze
Analyze
Figure 2.20. The process of solving creative exercises
The level to which the creative thinking capacity and problem solving capacity in teaching is formed and developed depending on the user and the use of teaching process.
Using algorithm in forming new knowledge
Algorithm used in teaching helps students orientate textbook research to find new knowledge, and also works to create a shortened knowledge product from textbooks. The method of using algorithms to teach new knowledge is inductive measure.
Using algorithm in consolidating and perfecting knowledge
This is an important stage in the learner's awareness path to practice the use of the acquired knowledge in specific situations. This is to strengthen the process of acquiring knowledge, bringing knowledge to serve practical requirements, creating products similar to existing or higher, newer products. This is also a period of consolidating skills to turn them into professional ones for the ultimate learning target of "Practice make perfect".
Using algorithm in testing and assessing
Testing and essessing is the period in which students self-assess or evaluate learning process of each other. This is also the stage for teachers to assess the level and capacity of each student, receive feedback from students to adjust the deveopment of teaching algorithms and their teaching process to suit the targets and subjects. To implement this task, teachers need to build a tool to assess the level of knowledge acquisition and level of capacity development in each student.
Chapter 3. PEDAGOGICAL EXPERIMENT
3.1. Experimental purposes
In order to check the feasibility and effectiveness of the scientific hypothesis that the subject has set; test the effectiveness of algorithms that have been developed in teaching genetics (Biology 12).
3.2. Experimental content
Pedagogical experiment is conducted for a number of lessons that invented algorithm is allowed to apply to this content.
When applying the invented algorithm or any teaching method, we think that it must be conducted continuously and systematically to assess the effectiveness of that method in the most objective way.
3.3. Experimental method
3.3.1. Selecting experimental schools, classes and teachers
We conducted experiments in 4 high schools in Hung Yen province:
Before conducting the experiment, we discussed with teachers who participated in the experiment the following content:
- Purpose, request, task and content of conducting experiment.
- Specific purpose, method and teaching plan for each lesson period.
- Provide documents for teachers to participate in experimental research before experimenting. Guilding documentation includes:
+ Analyzing the logical structure of the content of experimental lessons.
+ Process of 1developing algorithmic records.
+ Process of applying algorithm to teaching genetics (Biology 12).
+ Methods of organizing students to apply creative principles to propose creative exercises and situations.
+ Sample lesson plans of genetics that apply algorithm into teaching process.
3.3.2. Organization of pedagogical experiment
The experiment was conducted 2 times.
* Phase 1 (academic year of 2015 - 2016) is exploratory experiment.
* Phase 2 (academic year of 2016 - 2017) is the official experiment.
3.3.3. Method of results processing
3.3.3.1. Using mathematical 1
3.3.3.2. Handling the comments of teachers and students
3.4. Criteria for assessing the effectiveness of applying invented algorithm in teaching genetics (Biology 12)
3.4.1. Assessing student's cognitive capacity
Assessing the level of students' knowledge acquisition
Assessing students' knowledge use ability
3.4.2. Assessing creative thinking capacity in teaching Genetics (Biology 12 - High School) with applying of Algorithm
3.4.2.1. The basis for developing criteria for assessing creative capacity
From these basis, we propose the following criteria to assess students' creative thinking capacity:
The first criterion: From the cognitive needs of students, they can discover new problems and give dependable predictions (idea suggestion).
The second criterion: From the predictions, students propose possible solutions to test the hypothesis and identify the consequences derived from the hypothesis.
The third criterion: Students know how to analyze the pros and cons of the proposed plans and choose the most optimal solution.
The fourth criterion: Students successfully implement the selected plan.
The fifth criterion: Identify personal experience lessons
3.4.2.2. How to evaluate
Based on the above criteria, when evaluating students' creative thinking capacity, teachers need to:
- Design starting exercises/situations.
- Organize students to solve the starting exercises/situations.
- Organize students to propose creative exercises/situations and find solutions to solve those exercises/situations.
3.4.2.3. Proposing a scale of creative thinking capacity in teaching Genetics (Biology 12 - High School)
1, Problem detection
Criteria
Point
The problem is found and dependable prediction is given
2 points
The problem is found but dependable prediction is not given
1 point
The problem is not found
0 point
2, The solution for solving problem has been proposed
Criteria
Point
The solutions for solving problem and consequences of solutions are proposed
2 points
The solutions for solving problem are proposed but consequences of solution is not given
1 point
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