Date of Publication


Document Type

Master's Thesis

Degree Name

Master of Science in Teaching Major in Mathematics

Subject Categories

Mathematics | Science and Mathematics Education


Br. Andrew Gonzalez FSC College of Education


Science Education

Thesis Adviser

Auxencia A. Limjap

Defense Panel Chair

Minie Rose C. Lapinid

Defense Panel Member

Gladys C. Nivera
Maricar S. Prudente


This qualitative research aims to gain insights on what mathematical and investigative processes would manifest as students engage themselves in the mathematical investigation (MI) activity. This study was conducted among the selected high school sophomores in a secondary private school in Makati City. The behavioral indicators and manifestations of metacognitive skills during the investigation and its effects on the students progress in the investigation were described in this study. Orton and Frobisher's (2005) framework on investigative and mathematical processes was used to generate the investigative processes and the students: operational processes, communication processes, recording processes and the reasoning processes. The mathematical processes of guessing, pattern searching, hypothesizing, interpolating and extrapolating were also demonstrated by the students as they performed a mathematical investigation. Conjecturing, hypothesizing, proving and generalizing were also observed during the MI activity. The students employed metacognitive skills as they do the MI tasks. Positive interdependence, individual accountability, equal participation and simultaneous interaction were exhibited by the students during the investigation. Mathematical investigation in this study examined if it can effectively engage the students in the learning process in a regular classroom set up of a private school, it is suggested that more studies about mathematical investigation should be done to describe more its effectiveness in developing the students conceptual understanding in the learning process. iii The thinking processes that the students undergo as they do a math task are worth to examine. This would help the teachers to develop activities that would support and assist the learning of math concepts.

Abstract Format






Accession Number


Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

v, 134 leaves ; 28 cm.


Metacognition; Mathematics -- Study and teaching; Mathematics

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