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Realistic Plan




PORTFOLIO ANALYSIS FORM
           1
Student Name:

Teacher Name:

ACTIVITY 1: 3rd Year High School

Educational Goal:

        The students will be able to make at least 4 real life application of Statistics using the measures of
central tendency.




            Performance Task                        Content Illustrating Student Progress            Date



   •   Finding the MEDIAN height in odd         •    Correctly identifying the median height in a
       grouped students, through visual              group of students.
       identification.
                                                •    Arranging the group members according to
   •   Finding the MODAL height in a group           their height and correctly identify the modal
       of students by arranging the students         height.
       of the same height.
                                                •    Adding all the height of the students and
   •   Locating the MEAN height in a group           subtracting it to the number of students in a
       of students by adding all their height        group.
       and getting their average.
                                                •    Finding the tallest and the smallest
   •   Finding the RANGE of the height in a          member in a group the subtracting them.
       group of students.



Summary/ Comments:

       Based on the performance tasks, the students will be able to understand and apply in real life events
the importance of identifying the central tendency from a raw data. In understanding the problem, the
students will identify special factors that influence the approach before starting in dealing with the problem.

        Likewise, the performance task enhances the ability of the students to think critically and develop
their own learning by doing the tasks themselves. With this, the teacher will be confident enough to assume
that the students indeed have learned the lesson and that the teacher’s learning strategy is effective.

                                                REALISTIC PLAN

                                                             2
Subject: Mathematics
Level: 3rd year high school
Class size: 30
Duration: 1 hour
Topic: Measure of Central Tendency
Reference: introduction to Statistics 3rd edition
Author: Ronald E. Walpole


OBJECTIVE:
        At the end of the 1-hour session, 100% of 3rd year section Rizal students will be able to make 4 real
life application of Statistics using the measures of central tendency.

PEDAGOGY:
Median:

   •     Have an odd number of students stand in the front of the classroom, arrange themselves in terms of
         ascending heights. The height of the person standing in the middle is the median height.

   •     Repeat the activity with an even number of students. The median will be halfway between the heights
         of the two students standing in the middle.

   •     Have students give the definition of median in their own words.

Mode:

   •     For the groups of students standing at the front of the room, if there are some who are the same
         height, then the height that occurs most frequently is the mode. (It is possible that no two students
         are the same height. It is also possible to have more than one mode.)

   •     Have students give the definition of mode in their own words.

Mean (average):

   •     Have students compute this by adding up the heights and dividing by the number of students in the
         sample. For the sake of expediency, convert heights to inches before doing the arithmetic.

   •     It is important for the teacher to have the students look at their answer in relation to the entire list of
         numbers.

Range:




                                                           3
•     Have everyone except the tallest and shortest students in that group sit down. Measure the distance
       from the top of one of their heads to the top of the other person's head. That is the range. Guide
       students to tell you that subtraction can be used to find this.

ASSESSMENT:

       Criteria        Distinguished - 4        Proficient - 3         Apprentice - 2           Novice - 1

                      Identifies special                            Understands             Doesn't
 Understands the      factors that           Understands the        enough to solve         understand
    Problem           influences the         problem                part of the problem     enough to get
                      approach before                               or to get part of the   started or make
                      starting the problem                          solution                progress
                      Explains why                                  Uses some               Uses
 Uses Information     certain information    Uses all appropriate   appropriate             inappropriate
  Appropriately       is essential to the    information            information             information
                      solution               correctly              correctly
                      Explains why           Applies completely     Applies some            Applies
       Applies        procedures are         appropriate            appropriate             inappropriate
     Appropriate      appropriate for the    procedures             procedures              procedures
     Procedures       problem
                                                                    Uses a                  Uses a
      Uses            Uses a                 Uses a                 representation that     representation
 Representations      representation that    representation that    gives some              that gives little or
                      is mathematical        clearly depicts the    important               no significant
                      precise.               problem                information about       information about
                                                                    the problem             the problem
                      Correct solution of                           Copying error,          No answer or
     Answers the      problem and made         Correct solution     computational error,    wrong answer
      Problem         a general rule about                          partial answer for      based upon an
                      the solution or                               problem with            inappropriate plan
                      extended the                                  multiple answers,
                      solution to a more                            no answer
                      complicated                                   statement, answer
                      solution                                      labeled incorrectly




                                                     4
4 forms of Assessment




   Portfolio Assessment
            5
One form of authentic assessment being widely adapted in schools today is portfolio assessment.
Diane Hart defines a portfolio as quot;a container that holds evidence of an individual's skills, ideas, interests,
and accomplishments.quot; The ultimate aim in the use of portfolios is to develop independent, self-directed
learners. Long-term portfolios provide a more accurate picture of students' specific achievements and
progress and the areas of needed attention.

    Portfolios make it easier to develop grading schemes that emphasize assessing individual student
growth rather than competition with other students. As self-evaluation is an integral part of portfolio
assessment, a highly competitive climate will prove counterproductive. Students will be reluctant to focus
upon their deficiencies if they believe it will put them at a disadvantage in the competition for the top grades.
Often portfolios are used to supplement, not replace, traditional assessment procedures.

   1. Remember, portfolios should be developed by the students, not the teacher. Students should have
      freedom in selecting items to include in their portfolios. It is advantageous to make the whole portfolio
      process a collaborative teacher-student effort, with the teacher becoming more of a consultant to the
      student. The teacher functions more as a coach than a director.

   2. Any item that provides evidence of a student's achievement and growth can be included in a
      portfolio. Commonly used items include:



           a.   Examples of written work
           b.   Journals and logs
           c.   Standardized inventories
           d.   Videotapes of student performances
           e.   Audiotapes of presentations
           f.   Mind maps and notes
           g.   Group reports
           h.   Tests and quizzes
           i.   Charts, graphs
           j.   Lists of books read
           k.   Questionnaire results
           l.   Peer reviews
           m.   Self-evaluations



   3. Each item in the portfolio should be dated to facilitate the evaluation of progress through the year.

   4. Typically, teachers hold periodic individual conferences with their students to review their portfolios.
      During this interview it is important to listen to the students' assessments of the items in their
      portfolio. The focus of the discussion should be upon the products included in the portfolio. The
      teacher and student work together to set a limited number of objectives for future work. Strive to
      achieve a dialogue, not a lecture.

   5. Much of the value of portfolios derives from the students' reflection on which items are worth
      including in their portfolios.



                                                       6
6. The portfolios may be kept in folders, file boxes, assigned drawers, or other appropriate containers.
   Whatever the storage container, it must be readily accessible to the students.

7. Portfolios are especially helpful at parent conferences. Help the parent examine the portfolio, pointing
   out evidence of progress and areas of needed improvement.

8. Be patient. Portfolios are a new concept to most students and parents. There is a learning curve
   involved in adapting to the process. Experiment to determine what works and feel free to modify as
   needed.

9. In some schools students' portfolios are made available to their teachers the following year to aid in
   diagnosis. A few schools are experimenting with the development of a permanent portfolio that
   follows the students throughout their total school experience. (This would be separate from their
   cumulative record folder.) Upon graduation the students would keep their portfolios.

10. Develop your own teaching portfolio as a means of facilitating your professional development. It also
    can prove invaluable in tenure assessments and future job searches. Your professional portfolio
    might include videotapes of successful classes, curriculum materials you have developed, course
    syllabi, sample lesson plans, professional development goals and objectives, workshop classes
    attended, publications written, student evaluations, awards, certificates, professional affiliations,
    principal's and supervisor's evaluations, and your teaching philosophy.

11. A large three-ring binder is a practical way to organize your portfolio. Use tabs to indicate the various
    categories. You might occasionally share your portfolio with students to model the processes you are
    urging them to follow.




                                     Self-Assessment

                                                    7
The ultimate aim of education is to produce lifelong, independent learners. An essential component of
autonomous learning is the ability to assess one's own progress and deficiencies. Student self-assessment
should be incorporated into every evaluation process. Its specific form may vary with the developmental
level of the student, but the very youngest students can begin to examine and evaluate their own behavior
and accomplishments.

   1. Instead of grading all assignments, allow students to correct some themselves. You may choose to
      randomly collect these and check for accuracy.
   2. Share the specific evaluation criteria (or rubric) students should employ in assessing various tasks or
      assignments. Provide them with criteria check sheets (or have the class generate them) that specify
      exactly what constitutes a good product.
   3. Provide models of successful products, answers, or performances. These might be tacked to the
      bulletin board, in a display case, or on videotape. It is best to share the model before students begin
      the project. For creative activities, avoid encouraging students to simply copy someone else's
      product. It is helpful to lead students through an evaluation of the outstanding model, using the
      evaluation criteria to demonstrate why the model is an exemplar. To minimize peer pressure or
      harassment, it is generally best to use a previous student's work for the model rather than a current
      student's

    Attempt to schedule individual sessions to discuss a student's progress. Have the student evaluate his or
her own performance. Encourage the student to apply specific criteria in making the self-assessment.

   Self-assessment requires students to evaluate their own participation, process, and products. Evaluative
questions are the basic tools of self-assessment. Students give written or oral responses to questions like:

   •   What was the most difficult part of this project for you?
   •   What do you think you should do next?
   •   If you could do this task again, what would you do differently?
   •   What did you learn from this project?

Many teachers find that authentic assessment is most successful when students know what teachers
expect. For this reason, teachers should always clearly define standards and expectations. Educators often
use rubrics, or established sets of criteria, to assess student work. Because authentic assessment
emphasizes process and performance, it encourages students to practice critical-thinking skills and to get
excited about the things they are learning.




                                        Open Response



                                                      8
Most state assessments include open response or extended response questions. Generally, the
purpose is to test the student's ability to apply or extend content knowledge. In order to optimize students'
performance and to instill confidence, teachers should:

•   Explicitly teach the rubric so that students internalize performance levels.

•   Analyze student models of good work with the class.

•   Model the thinking process involved in answering open response.

•   explicitly teach test-taking strategies

•   Provide opportunities for students to practice answering teacher-generated questions and released state
    questions.

•   Offer specific, corrective feedback.



   Open-response questions, like short investigations, present students with a stimulus and ask them to
respond. Responses include:

    •   a brief written or oral answer
    •   a mathematical solution
    •   a drawing
    •   a diagram, chart, or graph




http://www.teachervision.fen.com/teaching-methods-and-management/educational-testing/4911.html?
page=2&detoured=1




                                              Short Investigations



                                                        9
Many teachers use short investigations to assess how well students have mastered basic
concepts and skills. Most short investigations begin with a stimulus, like a math problem, political
cartoon, map, or excerpt from a primary source. The teacher may ask students to interpret, describe,
calculate, explain, or predict. These investigations may use enhanced multiple-choice questions. Or
they may use concept mapping, a technique that assesses how well students understand
relationships among concepts.




                                             10
Process Oriented
Performance Assessment




          11

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Realistic Plan Assessment

  • 2. Student Name: Teacher Name: ACTIVITY 1: 3rd Year High School Educational Goal: The students will be able to make at least 4 real life application of Statistics using the measures of central tendency. Performance Task Content Illustrating Student Progress Date • Finding the MEDIAN height in odd • Correctly identifying the median height in a grouped students, through visual group of students. identification. • Arranging the group members according to • Finding the MODAL height in a group their height and correctly identify the modal of students by arranging the students height. of the same height. • Adding all the height of the students and • Locating the MEAN height in a group subtracting it to the number of students in a of students by adding all their height group. and getting their average. • Finding the tallest and the smallest • Finding the RANGE of the height in a member in a group the subtracting them. group of students. Summary/ Comments: Based on the performance tasks, the students will be able to understand and apply in real life events the importance of identifying the central tendency from a raw data. In understanding the problem, the students will identify special factors that influence the approach before starting in dealing with the problem. Likewise, the performance task enhances the ability of the students to think critically and develop their own learning by doing the tasks themselves. With this, the teacher will be confident enough to assume that the students indeed have learned the lesson and that the teacher’s learning strategy is effective. REALISTIC PLAN 2
  • 3. Subject: Mathematics Level: 3rd year high school Class size: 30 Duration: 1 hour Topic: Measure of Central Tendency Reference: introduction to Statistics 3rd edition Author: Ronald E. Walpole OBJECTIVE: At the end of the 1-hour session, 100% of 3rd year section Rizal students will be able to make 4 real life application of Statistics using the measures of central tendency. PEDAGOGY: Median: • Have an odd number of students stand in the front of the classroom, arrange themselves in terms of ascending heights. The height of the person standing in the middle is the median height. • Repeat the activity with an even number of students. The median will be halfway between the heights of the two students standing in the middle. • Have students give the definition of median in their own words. Mode: • For the groups of students standing at the front of the room, if there are some who are the same height, then the height that occurs most frequently is the mode. (It is possible that no two students are the same height. It is also possible to have more than one mode.) • Have students give the definition of mode in their own words. Mean (average): • Have students compute this by adding up the heights and dividing by the number of students in the sample. For the sake of expediency, convert heights to inches before doing the arithmetic. • It is important for the teacher to have the students look at their answer in relation to the entire list of numbers. Range: 3
  • 4. Have everyone except the tallest and shortest students in that group sit down. Measure the distance from the top of one of their heads to the top of the other person's head. That is the range. Guide students to tell you that subtraction can be used to find this. ASSESSMENT: Criteria Distinguished - 4 Proficient - 3 Apprentice - 2 Novice - 1 Identifies special Understands Doesn't Understands the factors that Understands the enough to solve understand Problem influences the problem part of the problem enough to get approach before or to get part of the started or make starting the problem solution progress Explains why Uses some Uses Uses Information certain information Uses all appropriate appropriate inappropriate Appropriately is essential to the information information information solution correctly correctly Explains why Applies completely Applies some Applies Applies procedures are appropriate appropriate inappropriate Appropriate appropriate for the procedures procedures procedures Procedures problem Uses a Uses a Uses Uses a Uses a representation that representation Representations representation that representation that gives some that gives little or is mathematical clearly depicts the important no significant precise. problem information about information about the problem the problem Correct solution of Copying error, No answer or Answers the problem and made Correct solution computational error, wrong answer Problem a general rule about partial answer for based upon an the solution or problem with inappropriate plan extended the multiple answers, solution to a more no answer complicated statement, answer solution labeled incorrectly 4
  • 5. 4 forms of Assessment Portfolio Assessment 5
  • 6. One form of authentic assessment being widely adapted in schools today is portfolio assessment. Diane Hart defines a portfolio as quot;a container that holds evidence of an individual's skills, ideas, interests, and accomplishments.quot; The ultimate aim in the use of portfolios is to develop independent, self-directed learners. Long-term portfolios provide a more accurate picture of students' specific achievements and progress and the areas of needed attention. Portfolios make it easier to develop grading schemes that emphasize assessing individual student growth rather than competition with other students. As self-evaluation is an integral part of portfolio assessment, a highly competitive climate will prove counterproductive. Students will be reluctant to focus upon their deficiencies if they believe it will put them at a disadvantage in the competition for the top grades. Often portfolios are used to supplement, not replace, traditional assessment procedures. 1. Remember, portfolios should be developed by the students, not the teacher. Students should have freedom in selecting items to include in their portfolios. It is advantageous to make the whole portfolio process a collaborative teacher-student effort, with the teacher becoming more of a consultant to the student. The teacher functions more as a coach than a director. 2. Any item that provides evidence of a student's achievement and growth can be included in a portfolio. Commonly used items include: a. Examples of written work b. Journals and logs c. Standardized inventories d. Videotapes of student performances e. Audiotapes of presentations f. Mind maps and notes g. Group reports h. Tests and quizzes i. Charts, graphs j. Lists of books read k. Questionnaire results l. Peer reviews m. Self-evaluations 3. Each item in the portfolio should be dated to facilitate the evaluation of progress through the year. 4. Typically, teachers hold periodic individual conferences with their students to review their portfolios. During this interview it is important to listen to the students' assessments of the items in their portfolio. The focus of the discussion should be upon the products included in the portfolio. The teacher and student work together to set a limited number of objectives for future work. Strive to achieve a dialogue, not a lecture. 5. Much of the value of portfolios derives from the students' reflection on which items are worth including in their portfolios. 6
  • 7. 6. The portfolios may be kept in folders, file boxes, assigned drawers, or other appropriate containers. Whatever the storage container, it must be readily accessible to the students. 7. Portfolios are especially helpful at parent conferences. Help the parent examine the portfolio, pointing out evidence of progress and areas of needed improvement. 8. Be patient. Portfolios are a new concept to most students and parents. There is a learning curve involved in adapting to the process. Experiment to determine what works and feel free to modify as needed. 9. In some schools students' portfolios are made available to their teachers the following year to aid in diagnosis. A few schools are experimenting with the development of a permanent portfolio that follows the students throughout their total school experience. (This would be separate from their cumulative record folder.) Upon graduation the students would keep their portfolios. 10. Develop your own teaching portfolio as a means of facilitating your professional development. It also can prove invaluable in tenure assessments and future job searches. Your professional portfolio might include videotapes of successful classes, curriculum materials you have developed, course syllabi, sample lesson plans, professional development goals and objectives, workshop classes attended, publications written, student evaluations, awards, certificates, professional affiliations, principal's and supervisor's evaluations, and your teaching philosophy. 11. A large three-ring binder is a practical way to organize your portfolio. Use tabs to indicate the various categories. You might occasionally share your portfolio with students to model the processes you are urging them to follow. Self-Assessment 7
  • 8. The ultimate aim of education is to produce lifelong, independent learners. An essential component of autonomous learning is the ability to assess one's own progress and deficiencies. Student self-assessment should be incorporated into every evaluation process. Its specific form may vary with the developmental level of the student, but the very youngest students can begin to examine and evaluate their own behavior and accomplishments. 1. Instead of grading all assignments, allow students to correct some themselves. You may choose to randomly collect these and check for accuracy. 2. Share the specific evaluation criteria (or rubric) students should employ in assessing various tasks or assignments. Provide them with criteria check sheets (or have the class generate them) that specify exactly what constitutes a good product. 3. Provide models of successful products, answers, or performances. These might be tacked to the bulletin board, in a display case, or on videotape. It is best to share the model before students begin the project. For creative activities, avoid encouraging students to simply copy someone else's product. It is helpful to lead students through an evaluation of the outstanding model, using the evaluation criteria to demonstrate why the model is an exemplar. To minimize peer pressure or harassment, it is generally best to use a previous student's work for the model rather than a current student's Attempt to schedule individual sessions to discuss a student's progress. Have the student evaluate his or her own performance. Encourage the student to apply specific criteria in making the self-assessment. Self-assessment requires students to evaluate their own participation, process, and products. Evaluative questions are the basic tools of self-assessment. Students give written or oral responses to questions like: • What was the most difficult part of this project for you? • What do you think you should do next? • If you could do this task again, what would you do differently? • What did you learn from this project? Many teachers find that authentic assessment is most successful when students know what teachers expect. For this reason, teachers should always clearly define standards and expectations. Educators often use rubrics, or established sets of criteria, to assess student work. Because authentic assessment emphasizes process and performance, it encourages students to practice critical-thinking skills and to get excited about the things they are learning. Open Response 8
  • 9. Most state assessments include open response or extended response questions. Generally, the purpose is to test the student's ability to apply or extend content knowledge. In order to optimize students' performance and to instill confidence, teachers should: • Explicitly teach the rubric so that students internalize performance levels. • Analyze student models of good work with the class. • Model the thinking process involved in answering open response. • explicitly teach test-taking strategies • Provide opportunities for students to practice answering teacher-generated questions and released state questions. • Offer specific, corrective feedback. Open-response questions, like short investigations, present students with a stimulus and ask them to respond. Responses include: • a brief written or oral answer • a mathematical solution • a drawing • a diagram, chart, or graph http://www.teachervision.fen.com/teaching-methods-and-management/educational-testing/4911.html? page=2&detoured=1 Short Investigations 9
  • 10. Many teachers use short investigations to assess how well students have mastered basic concepts and skills. Most short investigations begin with a stimulus, like a math problem, political cartoon, map, or excerpt from a primary source. The teacher may ask students to interpret, describe, calculate, explain, or predict. These investigations may use enhanced multiple-choice questions. Or they may use concept mapping, a technique that assesses how well students understand relationships among concepts. 10