Monday, 8 December 2014

Action Research Proposal: Mathematics Problem-Solving Skill And Reading Comprehension
Mathematics problem-solving and reading comprehension go hand-in-hand
http://s2.hubimg.com/u/5995323_f260.jpg
Source: www.freedigitalphotos.net/David Castillo
It cannot be denied that problem solving is an important part of Mathematics education. Mathematics, in general, is an important subject because of its practical role to a person and the society as a whole. However, before a student can successfully solve a problem, he has to posses good reading comprehension, analytic and computational skills.
_________________________________________________________________
Holt Mcdougal Geometry : Practice and Problem Solving Workbook Geometry by...


http://www.awltovhc.com/image-2103840-5902068http://rover.ebay.com/roverimp/1/711-53200-19255-0/1?ff3=10&pub=5574636337&toolid=10001&campid=5335845462&customid=2915090-17286495&uq=Mathematics+Problem-Solving&mpt=577322432

I. Situation
Problem solving in Mathematics and reading comprehension go hand in hand. Solving Math problems entails or requires the students to do or apply two skills at the same time- reading and computing. It is a two-edged sword which the student should conquer, so to speak.
As a teacher of Mathematics in Grade 6 for five years in the public school, I have encountered many pupils who are poor both in comprehending and analyzing Mathematics word problems. Specifically in SY 2010-2011 Grade 6 class, only 11 out of 60 pupils can successfully solve problems in Math without or with just little help from the teacher. The rest need to be guided to understand the problem. Approximately 82% find it hard to picture the situation indicated by the problem they are trying to solve. The slow ones would even ask the meaning of a certain word in the problem. When they have understood it, it is only then that they fully grasp the event/situation pictured in the problem. However, there are still some who cannot understand it, probably because they can’t connect or relate the ideas explained in the problem. When it is time to analyze or break down the problem, only the 11 pupils mentioned earlier can actively participate.
During group activities, the leaders would most often report that their members have to be monitored closely so that they would be able to correctly analyze the problem. Based on their report, roughly 3 out of 7 members actively contribute in their output.
That is why, during formative tests, only11 can get a perfect score. Majority of the class get 0-3 correct answers out of 5 given problems. Since the beginning of the school year, I have noticed that roughly 85%of the class has poor reading comprehension skills. The Grade 5 teacher warned me beforehand that this class is the slowest batch he has handled; particularly in reading comprehension. Many of the pupils in the class have poor vocabulary skills. True enough, I experience the same thing now. It seems that the present batch of pupils is worse than the previous one. Translating this into analyzing the problems in Mathematics, there is a grim prospect that they would find it hard to understand Math problems and thus affect their performance in the said area,notwithstanding their numerical skills. In straight computations like plain addition, multiplication, subtraction and division, they can solve them successfully with very little help. But when these are written in the verbal context-not in the numerical context- they are already at a loss, so to speak. Obviously, the bane of these pupils is the understanding of the contents of the math problems correctly and connecting the ideas expressed in it to fully grasp and find a way to successfully solve the problem.
________________________________________________________________
II. The Problem
The problem is the failure of the Grade VI pupils of Zapote Elementary School, SY 2011-2012, to correctly analyze word problems in Mathematics due to poor reading comprehension abilities.
Possible Causes:
1. Limited vocabulary words in Mathematics
2. Lack of technique in solving word problems
_________________________________________________________________
III. Generation of Alternative Solution
This action research offers alternative solution to the following:
1. Limited Mathematics vocabulary
a. Provide unlocking of difficulties through vocabulary development before the beginning of the Math class
b. Establish a tutor-tutee relationship wherein a good pupil tutors or teaches a slow classmate assigned to him in areas of reading comprehension and problem-solving
c. Provide interesting and challenging vocabulary activities involving Mathematics vocabulary such as in contests and games
2. Lack of technique in solving word problems
a. Organize the given information found in the problem
b. Use object representation and manipulatives to picture clearly the given Math problem
c. Substitute large numbers by simpler numbers or restate the problem in much simpler terms through improved reading comprehension
d. Make a number sentence out of the word problem
e. Use the “trial and error” method or the “guess and check”
________________________________________________________________
IV. Plan of Action
a. Objectives
1. Improve the pupils’ limited vocabulary wordsin Mathematics and enhance reading comprehension ability of the students
2. Develop the pupils’ techniques in solving word problems
b. Time Frame
This study will be conducted for one quarter, from July to September of SY 2011-2012
c. Target Subjects
The target subjects for this study are the Grade VI pupils of Zapote Elementary School during the academic year 2011-2012.
d. Activities to be Undertaken
Target Date
Persons Involved
Activities
Expected Results
July 12, 2011
School Head
A. Inform the school head about the action research to be undertaken
Granted permission to conduct the research
July 15, 2011
Grade VI pupils Co-teachers
B. Orientation of the pupils and co-teachers regarding the action research
100% of the pupils and co-teachers will be aware of the on-going research


C. Improve the pupils'limited vocabulary words in Mathematics

July 16, 2011
Grade VI pupils
1. Survey the Mathematics vocabulary skill of the pupils.
100% of the pupils will be surveyed
July 18 to September 9, 2011
Grade VI pupils
2. Provide unlocking of difficulties through vocabulary development before the beginning of the Math class.
100% of the class will develop and enhance their Math vocabulary skill
July 21, 2011
Grade VI pupils, Teacher
3. Establish a tutor-tutee relationship in reading comprehension and problem-solving wherein a good pupil tutors a slow classmate assigned to him
100% of the slow pupils will learn from their tutor-classmates
July 18, 2011 until the end of the school year
Grade VI pupils , Teacher
4. Provide interesting and challenging vocabulary activities involving Math vocabulary such as in contestsand game.
100% of the pupils will participate more actively in discussions and activities


D. Develop the pupils' techniques in solving word problems

July 25 to August 5, 2011
Grade VI pupils, Teacher
1. Draw a graph, chart, graphic organizer or list to help the students organize their information found in the word problem.
100% of the pupils will be able to organize the given data and connect the ideas expressed in the problem
August 8-19, 2011
Grade VI pupils, Teacher
2. Ask the students to make representation of objects so they will be able to visualize the problem clearly. They can use ruler, play money, realia, blocks, dice, etc.
100% of the pupils can manipulate and be aided by these materials in solving word problems
August 22 to September 2, 2011
Grade VI pupils, Teacher
3. Substitute large numbers by simpler numbers and use them instead of what are given in the problem, Problems can also be restated in much simpler terms.
100% of the pupils will be able to simplify the problem and substitute simpler numbers for the given numbers
September 5-16, 2011
Grade VI pupils, Teacher
4. From the given problem, make a number sentence by substituting the English sentences into Mathematics sentences. Another technique is to translate the problem into a dialect most understood by the students.
100% of the pupils will be able to master writing the number sentence
September 19-23, 2011
Grade VI pupils, Teacher
5. Solve by "trial and error" or "guess and check" by using the answers provided in multiple choice problems.
100% of the pupils will be able to apply the guess and check technique
V. Evaluation Criteria
The result of this research shall be reported after 100% of the Grade VI pupils have improved their Mathematics problem-solving skills.
______________________________________________________________
VI.Research Design
This action research is purely descriptive in nature which uses pre-test/post-test results and survey results to address the pupils’ problem.
Activities
Data To Be Collected
Statistical Treatment
1. Conduct a pre-survey of the previous Math vocabulary and reading comprehension of students
Pre-survey result
Average
2. Administer the pre-test
Result of the pre-test
Percentage
3. Conduct daily test on Math vocabulary
Result of the daily test
Percentage
4. Conduct weekly test on problem-solving
Weekly test result
Percentage
5. Conduct a post-survey of the Mathematics vocabulary of the pupils
Post-survey result
Average
6. Administer the post-test
Result of the post-test
Percentage





http://lorenmurcia.hubpages.com/hub/Action-Research-Proposal-Mathematics-Problem-Solving-Skill-And-Reading-Comprehension

Tuesday, 14 October 2014

Teaching-Learning Process though using of Blogspot

Teaching-Learning Process though using of Blogspot
 
              Because we are in the world of technology today, teachers have undergo many changes in terms of teaching effectively using technologies. One of these is the using of internet/websites as an instructional material. Teachers tend to used this because they saw students are fun of using computers. 
                     There are many websites available to visit in enhancing teaching-learning process. One of this is the "Blogspots". BLOG is "Weblog, online diary". Teachers used this in posting topics, assignment, quizzes, reports, etc. 
                     Blogging can open up new audiences. You can become a teacher within an infinitely larger classroom, and as you blog on subjects you think are interesting, you will discover that there are plenty of other education professionals 'out there' who are also interested. People who are interested will eventually find your blog and visit it regularly to see if they can learn something new from you.
                    There are two main activities associated with blogs and blogging: Reading existing blog and Writing your own blog
                   Reading existing blogs. As blogs are now so common on the Internet it is practically impossible to avoid them when searching for information. They now provide one of the most important sources of up to date information on the Internet as without technical barriers or editorial processes information is made instantly available as bloggers post new entries to their blogs. There are also many leading academics who actively blog and can provide trustworthy sources of current opinion and information. This means that blogs will increasingly offer academically valid sources of opinion and information.
                   Writing your own blog. The ease of use offered by current blogging systems means that all students and staff now have the opportunity to actively participate in blog authoring.

The blog itself is very much the property of the blog author who can control the timing and content of entries, as well as the overall look and feel of the blog. This allows the author to express elements of their personality through the blog so encouraging participation and engagement with blogging related learning activities.

When writing blog entries the author will be aware that generally all postings will be publicly visible. This represents a different audience than is the case for most other academic assignments and will help to develop the author's writing skills.

                  The repeated and regular nature of blog authoring makes it ideal for activities based around reflection which has been recognized as being extremely important to the process of learning.

Public visibility of blogs and the facility for visitors to leave comments means that blogs provide the opportunity for contacts to be made, discussions to be struck up and over time communities to form. The fact that both staff and students can author blogs as equals means that these communities can be more accessible than has previously been the case in academic life.
                   

Thursday, 9 October 2014

Quiz in Mathematics

Multiple Choice Practice
Transformations
Directions:  Choose the best answer. 
1.  If a reflection in the line  y = -x  occurs, then the rule for this reflection is:
       [1]       
      [2]     
      [3] 
      [4] 
 2.  Which of the following transformations is illustrated by the graph at the right?            [1]  dilation
     [2]  reflection in y = x
     [3]  translation
     [4]  reflection in the origin



3.  Under the translation , the point (2,5) becomes
     [1] (3,2)         [2]  (6,10)              [3]  (5,7)             [4]  (4,8)

4.  Which of the following capital letters (if written simply) has at least one line of symmetry?
     [1]  F               [2]  R                    [3]                 [4]  L

5.  Which of the following rules is the composition of a dilation of scale factor 2 following a translation of 3 units to the right? 

     [1] 
     [2] 
     [3] 
     [4] 
6.  Which of the following descriptions (pertaining to the graph at the right) is true?     [1]     [2] 
  [3]  
            

  [4] 
             




7.  Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?      I.  translation             II.  rotation               III.  dilation
    [1]  I only                [2]  II only            [3]  III only           [4]  II and III
8.  Regarding the transformation at the right, do the figures have the same or opposite orientation?        [1]  same              [2]  opposite

 9.  The image of (-2,6) after a dilation with respect to the origin is (-10,30). What is the constant of the dilation?
     [1]  5                 [2]  8                     [3]  10                    [4]  -8

10. What are the coordinates of point T ', the image of point T(-2,5) after a reflection in the origin?  
     [1]  (2,5)            [2]  (2,-5)               [3]  (-2,-5)               [4]  (5,-2)

Tuesday, 7 October 2014

Content of the Lesson Plan

Transformation


Transformation
Moving a shape so that it is in a different position, but still has the same size, area, angles and line lengths.

Turn, flip or slide are the basic moves.

This is an example of a turn (rotational) transformation.

These are Transformations:

Rotation Turn!
Reflection Flip!
Translation Slide!

After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.

Rotation

"Rotation" means turning around a center:

The distance from the center to any point on the shape stays the same.
Every point makes a circle around the center.

Here a triangle is rotated around
the point marked with a "+"

Reflection

Reflections are everywhere ... in mirrors, glass, and here in a lake.
... what do you notice ?
Reflection in Lake Reflection Illustrated
Every point is the same distance from the central line !
... and ...
The reflection has the same size as the original image
The central line is called the Mirror Line ...

Translation

In Geometry, "Translation" simply means Moving ...
... without rotating, resizing or anything else, just moving.
To Translate a shape:
Every point of the shape must move:
  • the same distance
  • in the same direction.
To see how this works, try translating
different shapes here:

 

Resizing

The other important Transformation is Resizing (also called dilation, contraction, compression, enlargement or even expansion). The shape becomes bigger or smaller:
Resizing

Congruent or Similar

If one shape can become another using only Turns, Flips and/or Slides, then the two shapes are called Congruent.
Two shapes are Similar if you need to Resize for one shape to become another (you may also Turn, Flip and/or Slide).
So, if one shape can become another using transformation, the two shapes might be Congruent or just Similar
If one shape becomes another ... The shapes are ...
... using only Rotate, Reflect and/or Translate 

Congruent

... using a Resize (may also Rotate, Reflect
and/or Translate)

Similar

SOURCE: http://www.mathsisfun.com/geometry/translation.html