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Guidelines-for-Mathematical-Investigation

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Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
MATHEMATICAL INVESTIGATION
(Teacher & Student Category)
MECHANICS AND GUIDELINES
1. This competition will be participated in by the thirty-two (32) districts of
Schools Division Office I Pangasinan.
2. There are two entry categories for the competition:
Teacher Category (Individual)
Grade 6 Elementary Teacher
Grade 9 Secondary Teachers
Grade 10 Secondary Teacher,
Grade 11 or 12 SHS Teacher
Learners Category (Team)
Elementary (Grades 6 with 3 members)
Secondary (Grades 9 and10 with 3 members each)
Senior High School (Grade 11 or 12 with 3 members) are
encouraged to collaborate online.
3. For the format in writing mathematical investigation, please read
enclosure 1. All entries not conforming with the format shall be
automatically eliminated from the competition.
4. The submission of entries at the division office shall be done online one
(1) day before the day of competition. All entries shall be sent through
this link ______.The manuscript shall be in pdf format with the following
filename format: MI_District_Category_Surname of teacher or Surname
of one of the students, et al. (for group).
Example:
MI_LingayenI_Elementary_DelaCruz (for teacher)
MI_LingayenI_HighSchool_Santos, et al. (for students)
5. During the day of the competition, each category is required to have oral
presentation.
 The presentation shall last for fifteen (15) minutes.
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN


The presentation shall be aided with PowerPoint Presentation.
The presentation shall include the following:
 Title
 Background/Rationale
 Situation
 Questions Investigated
 Methodology/Process
(include
experiences
in
doing
investigation)
 Conjecture(s) formulated
 Justifications/Expectations of all the conjectures considered
the
6. The following criteria will be used to assess the mathematical
investigation manuscript and presentation.
Criteria
MI
Manuscript
(60 points)
Presentation
(40 points)
Indicators
Points
Problem/s is/are clearly defined and generated
10
from the situation, challenging
Conjectures are stated in concise mathematical
10
statements (in symbols if appropriate) and clearly
generated from the data, that is, data are sufficient,
appropriate, well organized, logically presented and
patterns are noted.
Conjectures are tested against existing cases and
10
extreme cases and are used to make predictions are
tested.
Each justification/explanation/proof is complete,
10
mathematical ideas involved are accurate,
mathematical statements are logically presented
and concise, at least two ways of justifying/proving
are presented and one of these suits the ability of
the learners
Possible extension/s is/are clearly stated and
10
generated from the data
Content organization is easy to follow, graphics and
10
colors are appropriate and pleasing to the eye and
comforted with the required physical specifications
Speaker maintains good eye contact with the
5
audience and is appropriately animated (e.g.,
gestures, moving around, etc.).
Speaker uses a clear and audible voice.
5
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
Score
Delivery is clear, controlled, and smooth.
Good language skills and pronunciation are used.
Presentation is well prepared, informative, effective,
and not distracting.
Length of presentation is within the assigned time
limits.
Information was well communicated.
Total Points
5
5
5
5
10
100
Enclosure 1
FORMAT IN WRITING MATHEMATICAL INVESTIGATION
I.
II.
TITLE
INTRODUCTION
- “What got you interested?”
- Significance of the study
- Includes citation of existing related literature
III.
STATEMENT OF THE PROBLEM
- Problem/s is/are clearly defined and generated from the
situation
- Challenging (Shows teachers/students discovery in
Mathematical ideas and procedures)
IV.
CONJECTURES
- Preceded by sample data from which the conjecture was
generated
- stated in concise mathematical statements (in symbols if
appropriate)
- clearly generated from the data, that is, data are sufficient,
appropriate, well organized, and logically presented
- patterns are noted
V.
VERIFYING CONJECTURES
- Conjectures are tested against existing cases and extreme cases
- Conjectures are used to make predictions
- Predictions are tested
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
-
The data may support the conjecture or provide a
counterexample indicating the need to revise or reject the claim
VI.
JUSTIFICATION
- It may be possible to provide deductive justification, or a formal
proof
- Each proof/justification is complete
- Mathematical ideas involved are accurate
- Mathematical statements are logically presented, concise, and
suited to the ability of the learners
- As students become more sophisticated, more careful, and
complete justifications may be expected
VII.
SUMMARY
- Encourages a critical review of the investigation
- Encourages reflection on the investigative process and may
serve as a valuable illustration of this process for other students
- Should be long enough to highlight the major ideas and phases
of the investigation, yet short enough to be manageable in
limited time
VIII. POSSIBLE EXTENSIONS
- Extensions may serve as further investigations for later use and
may arise from students’ investigation
- Are clearly stated and generated from the data
TYPOGRAPHY
1. Paper Size
a.
A4 (8.27" x 11.69")
2. Font
a. Bookman old style, size 12
b. For title page, use size 12
c. For figure and table titles, use font 11
3. Margins
a. 1.25" left margin and 1" margins all around
4. Pagination and numbering
a. Page number must be at the bottom right
b. 0.5" Indention at beginning of paragraphs
c. Text alignment: Justified (aligned at both left and right sides
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
5. Enumerations and Listing
a. All items in the list should be grammatically parallel (i.e.
all noun phrases, adjectives, and so forth)
b. If the list and items are very short and simple, include them
in one grammatical sentence. Each item should be
preceded by an arabic numeral in parentheses. (i.e. The
Capstone Project has three characteristics: (1)
collaborative, (2) innovative, and (3) citizen-centric.)
c. If the items in the list are longer, arrange them in a vertical
list. Introduce the list with a complete sentence followed by
a colon. Begin each one with a bullet or an arabic numeral
followed by a period, without parentheses.
6. Tables and Figures
a. Use font size 11 for table and figure titles
b. Place table titles on top
c. Place figure title below
d. A figure or table title should be composed of an Arabic
numeral followed by a period and a caption. (i.e. Table 1.
Pascal Triangle)
e. When you refer to a figure in the text, specify the figure
number (“in Figure 3”) rather than its location (“below”).
f. A table or figure should immediately follow the paragraph that
first mentions it.
7. Point of view
a. Use the third-person voice or point of view all throughout
the paper. Refer to self as “the researcher” all through the
paper. (i.e. …there were also a lot of challenges that were
faced by the researcher; The researcher saw the need to restrategize…)
b. Be conscious of gender-fair language. (i.e. Chairperson
instead of Chairman; use the singular “they” instead of “he
or she” or “s/he” for example: A customer should enjoy
their seamless transaction).
8. Tense
a. Observe appropriate tenses in each section of the paper.
Tenses may shift in any given section, depending on the
topic discussed.
b. Essentially, the final paper uses the past tense most of the
time as it describes what has been done. There are
instances, however, that either future, present or present
perfect tense is used. (i.e. Review of Related Literature
should use the present tense when studies done by other
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
researchers are discussed).
9. Citation and References
d. Use APA for Reference and in-text citation all throughout the
paper
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
DECLARATION OF ANTI-PLAGIARISM
1. I/We, Name of Proponent/s, understand that plagiarism is the act of
taking and using another’s ideas and works and passing them off as
one’s own. This includes explicitly copying the whole work of another
person and/or using some parts of their work without proper
acknowledgment and referencing.
2. I/We hereby attest to the originality of this mathematical investigation
manuscript and have cited properly all the references used. I/ We shall
use appropriate citations in referencing other works from various
sources.
3. I/We understand that violation from this declaration and commitment
shall be subject to consequences (disqualification from the competition,
etc.) and shall be dealt with accordingly by the Department of Education
Schools Division Office I Pangasinan.
_____________________________________
Proponent Name and Signature
Date: _______________________________
Proponent Name and Signature
Date: _______________________________
Proponent Name and Signature
Date: _______________________________
Address: Alvear St. Lingayen, Pangasinan
Telephone No.: (075)-522-2202
Email: pangasinan1@deped.gov.ph
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