STS Dr Lumberto Medoza Lecture - Math and Language

Introduction to the Lecture

Doctor Lamberto Mendoza, known as Toto, a graduate of the University of Bergen specializing in philosophy with a focus on the philosophy of Wittgenstein, introduces his lecture on the intersection of mathematics and language, particularly addressing the anxiety that many students experience towards mathematics.

Overview of Anxiety Towards Mathematics

  • The presentation aims to discuss the anxiety surrounding mathematics, which manifests in various forms among students (e.g., frustration and aversion).

  • The Philippines has consistently ranked low in international assessments in reading, math, and science, prompting a discussion on educational programs to improve these standings. Data from assessments in 2018 and 2022 highlights these trends, with math scores particularly concerning.

  • Acknowledgement of differing mediums of instruction (English vs. Filipino) and the necessity for effective translation of mathematical concepts is emphasized as a key element in improving understanding and performance.

The Concept of Mathematics as Language

  • Mathematics is framed as a form of language that is crucial for scientific understanding. The focus is less on rote learning and more on understanding concepts, reasoning, and the applicability of mathematics in daily life and decision-making.

  • A video excerpt features a mathematician from Carnegie Mellon who argues that mathematical reasoning is essential for quality decisions and emphasizes that mathematics should not be viewed solely in terms of formulas or computations but as a tool for reasoning.

  • The importance of a foundational understanding of mathematical principles over memorization is underscored, taken from insights shared within the lecture.

Wittgenstein’s Philosophy and Mathematics

  • Wittgenstein's concepts regarding the use of language and its implications for understanding numerical expressions are highlighted, particularly the quote about how we understand terms through their use rather than fixed definitions.

  • The abstract nature of mathematics (e.g., the concept of 'five') is contrasted with the tangible world, asserting that mathematical concepts exist in a unique space where they are not outright objects but rather represent patterns and forms.

  • Wittgenstein's language games are discussed as a way of exploring how mathematical terms can be understood contextually rather than in isolation.

Conclusion and Reflection on Teaching Mathematics

  • Lecturers engage with students to elicit thoughts on the relationship of mathematics to their life experiences and education. There is an emphasis on the idea that mathematical reasoning should be integrated into teaching methodologies.

  • The lecture concludes by challenging the idea that math is solely about numbers, instead advocating for a broader perspective that recognizes the importance of reasoning and understanding patterns involved in mathematical thinking.

  • A call for a shift in how mathematics is taught, advocating the use of real-life contexts and experiential learning to enhance comprehension and reduce anxiety is made.

Student Engagement and Questions

  • Throughout the session, students are encouraged to share their experiences and insights, leading to discussions about the cultural implications of math education and the need for contextualized learning.

  • Questions raise critical insights into how students perceive mathematics and their struggles with it, reflecting a desire to bridge the gap between numerical focus and a more holistic understanding of mathematical concepts.