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