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## Full-Text Articles in Education

Using Ibl In A History Of Mathematics Course: A Skeptic’S Success, Michael E. Matthews, Angela M. Hodge

#### Using Ibl In A History Of Mathematics Course: A Skeptic’S Success, Michael E. Matthews, Angela M. Hodge

*Journal of Humanistic Mathematics*

A college professor, who is highly skeptical of change, but sensing a need for teaching in a more inspiring and engaging way, implements an inquiry-based learning (IBL) approach to teaching the history of mathematics. The first author (Matthews) worked with an experienced IBL colleague mentor (Hodge) on the course. Some student data was collected to document the effects of the class on the students. The approach taken for the course is described in detail including how the students of the course learned about and used IBL in key peer-to-peer teaching about historical mathematics (with a primary focus on the mathemat- ...

The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

#### The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

*Journal of Humanistic Mathematics*

In this article, I analyze the aesthetic dimensions of a *sequence* of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning *whether *or *in what ways *a set of mathematical objects are beautiful or not, this paper addresses *under what conditions* is the mathematics in play ...

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

#### What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

*Journal of Humanistic Mathematics*

While teaching college-level mathematics (from College Algebra to Calculus to Abstract Algebra), I have observed that students are often uncomfortable using negative exponents in calculations. I believe the fault partially lies in the manner in which negative exponents are taught in Algebra 1 or Algebra 2 courses, especially in rigid instructions always to write answers using only positive exponents. After reviewing a sample of algebra texts used in the United States over the last two centuries, it appears that while attitudes toward negative exponents have varied from author to author over time, the current trend is to declare explicitly that ...

Cultural Immersion And Mathematics Teacher Education: Explorations In Morocco And South Africa, Kori L.H. Maxwell, Iman C. Chahine

#### Cultural Immersion And Mathematics Teacher Education: Explorations In Morocco And South Africa, Kori L.H. Maxwell, Iman C. Chahine

*Journal of Humanistic Mathematics*

This article examines the first author's personal experiences as a mathematics educator studying ethnomathematics and indigenous knowledge systems (IKS) through immersion in indigenous cultures. In describing these encounters, we highlight the importance and impact of cultural immersion experiences on educators' perspectives regarding the nature of mathematical knowledge. We argue that cultural immersion not only builds a well-rounded individual, but also provides educators with the necessary tools to maintain relevance in the diverse and constantly evolving landscape that is the classroom. Insights gained from this study have direct implications in our teaching practices as they remind us to be mindful ...

At The Gate Of Discovery, Jan Nordgreen

#### At The Gate Of Discovery, Jan Nordgreen

*Journal of Humanistic Mathematics*

This is the story of how a mathematical problem was discovered. Although it was never solved, it gave great joy to the discoverer.