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MATHEMATICS TEACHING PLANNING
  “Thinking About Content”




                        Group II

     Name                                 NPM
  Pipin Devi Erasanti                   A1C010018
  Nia Winiarti                          A1C010004
  Risnanda Arifin                       A1C010027
  Alif Aditya                           A1C010022
  Hapni Puspita Sari                    A1C010037

    Semester             :   V
    Teacher              :   Dewi Rahimah, M. Ed



  Study Program of Mathematics Education
      Mathematics and Natural Science
Faculty of Teachersip and Education Science
            Bengkulu University
                    2012
THINKING ABOUT CONTENT


1. The examples for type of knowledge in teaching mathematics:
   a. Declarative Knowledge
       Facts
            Symbol “ 1 ” used for declaring that number of something
            just one.
            Symbol “ : ” is the symbol of division operation.
       Concepts
            Concept of quadrilateral. All quadrilateral have four sides
            and four angles.
            Concept about the sum of interior angels of a Triangle. All
            triangles have sum of the interior angles equals 1800 .
       Principles
            Two congruent right triangle if it is combined, will shape a
            square.
            Two straight lines aren’t parallel and located in a plane will
            have intersection in a point. And two straight lines are
            parallel and located in a plane will not have intersection in
            a point.
   b. Procedure Knowledge
      a. Knowing how to calculate percentile.
      b. Knowing how to draw perpendicular line with a line of a point
         located at the line.


2. The example for way in creating a diversity responsive curriculum
   in teaching mathematics:
   a. Teaching content about diversity
         Teacher gives an understating of the formula on rectangular
         prism volume. Then, teacher give task for calculating how
much volume of the water needed by school’s bathing tub, so
      it can be full of water.
      Students can apply the concept of rectangular prism formula in
      their life. Such as: counting volume of aquarium, volume
      cardboard.
b. Teaching content that is complete and inclusive
      Material :Trigonometry
      Contributing: students involve in the process for counting the
      height of a tree directly.
      Voice: students discuss the result of their activity (counting
      the height of a tree) and they ask the opinion of every member
      in a group. For instance, how high the tree if known the
      elevation angle is 450.
      Perspective: students give a piece of their mind to the appear
      problem when they do observation.
      Students can find the satisfy    solution (result of the tree’s
      high) from the practice that they have been done.
      By using observation, they can take general conclusion from
      trigonometry formula.
c. Connect to the content taught to students’ life
      Equipment : Bridge cards
      Students in junior high school have hobby to play bridge cards.
      Then, teacher use bridge cards for counting the probability.
      Firstly, teacher asks students to bring bridge cards. Then,
      teacher ask students to play bridge. In other side, teacher also
      asks students to count the probability while they were playing
      the bridge. For instance, counting the probability of red card
      in the first taking.
Equipment : full color pictures
         Students of elementary school in first grade usually enjoy full
         color pictures and in this age, students have understood about
         concrete things. It can be used for teaching students in
         addition and subtraction concept. It’s appropriate with unit
         props where there are many pictures loved by children in that
         props. For instance, the girls love flowers and the boys love
         cars. By using that pictures, student will be easy to answer
         teacher’s question. For example, teacher asks how many
         pictures are there in his/her hand.       By using their loved
         pictures students can understand easier about addition and
         subtraction concept.


3. The examples for understanding in teaching mathematics
      Material : Linear Equation in Two Variable
      a. Introductory knowledge
         On a table, there are five books and eight pens. Then, teacher
         take two books and three pens. After that, teacher asks to
         students how many books that we will get if we add two books
         and three books again. Then, teacher explains that this thing
         related to concept about linear equation in two variables.
      b. Develop a thorough understanding of important knowledge
         and skills
         Teacher explains linear equation in two variables specifically.
         The way for adding and subtraction in linear equation. The
         teacher gives example addition in story problem.
c. Strengthen students’ understanding of previously learned
   information
   After teacher finished their explanation about linear equation
   in   two     variable.   Then,   for   deepening   the   student’s
   understanding, teacher give task to the students related to the
   material.
Material : concept of arithmetic operation
a. Introductory knowledge
   Teacher gives comprehension about subtraction by using coins
   valued Rp 500,00. Teacher has ten coins valued Rp 500,00. So,
   the sum of teacher’s money is Rp 5000,00. Then, teacher gives
   money valued Rp 2000,00 to the students A and Rp 500 to
   student B. Then, teacher asks student to think how many coin
   left in the teacher.
b. Develop a thorough understanding of important knowledge
   and skills
   After teachers explained all material, teacher explains the
   other examples. Teacher explains the addition and subtraction
   concept specifically. Teacher explains all kinds of arithmetic
   operation such as addition and subtracting related to the
   linear equation’s problem.
c. Strengthen students’ understanding of previously learned
   information
   For strengthen the understanding of students in arithmetic
   concept such as addition and subtraction. Teacher gives post
   test to examine the understanding of the students.
4. The example for analysis in teaching mathematics
   a. Subject matter outlines
      Identify    problem related to linear equation system, determine
      mulberry     from   of   the   problems   as   variables,   make   the
      mathematics model, solve the model, and interpreted the
      solution.
   b. Concept analysis
      Students analyze statistics data. For instance, given disordered
      single data. Then, teacher asks student to look for the modus,
      kuartil, percentile. In this activity, students have to analyze the
      data first, so that they can get modus, kuartil, percentile by using
      the formula.
   c. Principle statement
      In the statistics case where students have to determine average
      and the standard deviation of given data. Here, we get relation
      between average and standard deviation. For getting standard
      deviation, we have to find the average of the data first.
   d. Task analysis
      How to make frequency distribution
      1. Arrange data from smallest up to biggest.
      2. Determine the range.
      3. Determine how many the interval class are there.
      4. Determine how long the interval class.
      5. Choose lower point of interval class.

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Task 2 PPM - Group 2 - Thinking about Content

  • 1. MATHEMATICS TEACHING PLANNING “Thinking About Content” Group II Name NPM Pipin Devi Erasanti A1C010018 Nia Winiarti A1C010004 Risnanda Arifin A1C010027 Alif Aditya A1C010022 Hapni Puspita Sari A1C010037 Semester : V Teacher : Dewi Rahimah, M. Ed Study Program of Mathematics Education Mathematics and Natural Science Faculty of Teachersip and Education Science Bengkulu University 2012
  • 2. THINKING ABOUT CONTENT 1. The examples for type of knowledge in teaching mathematics: a. Declarative Knowledge  Facts Symbol “ 1 ” used for declaring that number of something just one. Symbol “ : ” is the symbol of division operation.  Concepts Concept of quadrilateral. All quadrilateral have four sides and four angles. Concept about the sum of interior angels of a Triangle. All triangles have sum of the interior angles equals 1800 .  Principles Two congruent right triangle if it is combined, will shape a square. Two straight lines aren’t parallel and located in a plane will have intersection in a point. And two straight lines are parallel and located in a plane will not have intersection in a point. b. Procedure Knowledge a. Knowing how to calculate percentile. b. Knowing how to draw perpendicular line with a line of a point located at the line. 2. The example for way in creating a diversity responsive curriculum in teaching mathematics: a. Teaching content about diversity Teacher gives an understating of the formula on rectangular prism volume. Then, teacher give task for calculating how
  • 3. much volume of the water needed by school’s bathing tub, so it can be full of water. Students can apply the concept of rectangular prism formula in their life. Such as: counting volume of aquarium, volume cardboard. b. Teaching content that is complete and inclusive Material :Trigonometry Contributing: students involve in the process for counting the height of a tree directly. Voice: students discuss the result of their activity (counting the height of a tree) and they ask the opinion of every member in a group. For instance, how high the tree if known the elevation angle is 450. Perspective: students give a piece of their mind to the appear problem when they do observation. Students can find the satisfy solution (result of the tree’s high) from the practice that they have been done. By using observation, they can take general conclusion from trigonometry formula. c. Connect to the content taught to students’ life Equipment : Bridge cards Students in junior high school have hobby to play bridge cards. Then, teacher use bridge cards for counting the probability. Firstly, teacher asks students to bring bridge cards. Then, teacher ask students to play bridge. In other side, teacher also asks students to count the probability while they were playing the bridge. For instance, counting the probability of red card in the first taking.
  • 4. Equipment : full color pictures Students of elementary school in first grade usually enjoy full color pictures and in this age, students have understood about concrete things. It can be used for teaching students in addition and subtraction concept. It’s appropriate with unit props where there are many pictures loved by children in that props. For instance, the girls love flowers and the boys love cars. By using that pictures, student will be easy to answer teacher’s question. For example, teacher asks how many pictures are there in his/her hand. By using their loved pictures students can understand easier about addition and subtraction concept. 3. The examples for understanding in teaching mathematics Material : Linear Equation in Two Variable a. Introductory knowledge On a table, there are five books and eight pens. Then, teacher take two books and three pens. After that, teacher asks to students how many books that we will get if we add two books and three books again. Then, teacher explains that this thing related to concept about linear equation in two variables. b. Develop a thorough understanding of important knowledge and skills Teacher explains linear equation in two variables specifically. The way for adding and subtraction in linear equation. The teacher gives example addition in story problem.
  • 5. c. Strengthen students’ understanding of previously learned information After teacher finished their explanation about linear equation in two variable. Then, for deepening the student’s understanding, teacher give task to the students related to the material. Material : concept of arithmetic operation a. Introductory knowledge Teacher gives comprehension about subtraction by using coins valued Rp 500,00. Teacher has ten coins valued Rp 500,00. So, the sum of teacher’s money is Rp 5000,00. Then, teacher gives money valued Rp 2000,00 to the students A and Rp 500 to student B. Then, teacher asks student to think how many coin left in the teacher. b. Develop a thorough understanding of important knowledge and skills After teachers explained all material, teacher explains the other examples. Teacher explains the addition and subtraction concept specifically. Teacher explains all kinds of arithmetic operation such as addition and subtracting related to the linear equation’s problem. c. Strengthen students’ understanding of previously learned information For strengthen the understanding of students in arithmetic concept such as addition and subtraction. Teacher gives post test to examine the understanding of the students.
  • 6. 4. The example for analysis in teaching mathematics a. Subject matter outlines Identify problem related to linear equation system, determine mulberry from of the problems as variables, make the mathematics model, solve the model, and interpreted the solution. b. Concept analysis Students analyze statistics data. For instance, given disordered single data. Then, teacher asks student to look for the modus, kuartil, percentile. In this activity, students have to analyze the data first, so that they can get modus, kuartil, percentile by using the formula. c. Principle statement In the statistics case where students have to determine average and the standard deviation of given data. Here, we get relation between average and standard deviation. For getting standard deviation, we have to find the average of the data first. d. Task analysis How to make frequency distribution 1. Arrange data from smallest up to biggest. 2. Determine the range. 3. Determine how many the interval class are there. 4. Determine how long the interval class. 5. Choose lower point of interval class.