MTE1501
ASSIGNMENT 3 (SEMESTER 0)..
DUE DATE: 15 JULY 2025..
PREVIEW:
QUESTION 3.1 LU1: MATHEMATICS IN SOCIETY (10 marks)
In defining mathematics, section 1.3.1 outlines three main views: Platonist, Formalist, and
Constructivist.
The Platonist view considers mathematics as a universal, objective truth that exists independently of
humans; it is discovered rather than invented. For example, concepts like pi (π) exist in nature whether
humans know about them or not.
In contrast, the Formalist view sees mathematics as a system created by humans based on symbols,
definitions, and logical rules, without necessarily having an external reality. Mathematics here is seen as
a language game, where truth depends on internal consistency and adherence to axioms rather than
discovery of external truths.
Finally, the Constructivist view argues that mathematics is constructed by humans to understand and
solve real-world problems. Knowledge is built through social interaction, experiences, and contextual
use, thus it is more dynamic and culturally influenced.
These views differ mainly in where mathematics is believed to originate: Platonists believe it is
discovered in reality; Formalists argue it is purely symbolic and internally consistent; Constructivists
believe it is constructed by humans to make meaning of their world. Understanding these views is crucial
as a teacher to select appropriate teaching approaches and connect mathematics meaningfully to
learners’ lives.
Disclaimer:
The materials provided are intended for educational and informational purposes only. They should not be
submitted as original work or used in violation of any academic institution's policies. The buyer is solely
responsible for how the materials are used.
ASSIGNMENT 3 (SEMESTER 0)..
DUE DATE: 15 JULY 2025..
PREVIEW:
QUESTION 3.1 LU1: MATHEMATICS IN SOCIETY (10 marks)
In defining mathematics, section 1.3.1 outlines three main views: Platonist, Formalist, and
Constructivist.
The Platonist view considers mathematics as a universal, objective truth that exists independently of
humans; it is discovered rather than invented. For example, concepts like pi (π) exist in nature whether
humans know about them or not.
In contrast, the Formalist view sees mathematics as a system created by humans based on symbols,
definitions, and logical rules, without necessarily having an external reality. Mathematics here is seen as
a language game, where truth depends on internal consistency and adherence to axioms rather than
discovery of external truths.
Finally, the Constructivist view argues that mathematics is constructed by humans to understand and
solve real-world problems. Knowledge is built through social interaction, experiences, and contextual
use, thus it is more dynamic and culturally influenced.
These views differ mainly in where mathematics is believed to originate: Platonists believe it is
discovered in reality; Formalists argue it is purely symbolic and internally consistent; Constructivists
believe it is constructed by humans to make meaning of their world. Understanding these views is crucial
as a teacher to select appropriate teaching approaches and connect mathematics meaningfully to
learners’ lives.
Disclaimer:
The materials provided are intended for educational and informational purposes only. They should not be
submitted as original work or used in violation of any academic institution's policies. The buyer is solely
responsible for how the materials are used.
