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Mathematics
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What is Mathematics?

Mathematics as an academic subject spans far more than calculation — it encompasses logic, aesthetics, creativity, and the structure underlying fields from economics to literature. In educational contexts, mathematics is studied across curriculum development courses, teacher preparation programs, and interdisciplinary studies. Papers in this area examine how students and teachers engage with mathematical thinking, how knowledge is built across grade levels, and how figures like Srinivasa Ramanujan illustrate the human dimensions of mathematical discovery. Frameworks such as NCTM's Agenda for Action and established standards give writers a concrete policy foundation for analyzing how math education is shaped at an institutional level.

The papers collected here approach mathematics from notably varied angles. Some take a historical or economic perspective, tracing the impact of mathematics from medieval times to the present. Others focus on curriculum and instructional planning, including how literature can be integrated into elementary math classrooms or how problem-solving heuristics can be structured into lesson study presentations. A separate thread of papers explores mathematics as a creative and aesthetic pursuit, examining its appeal as an art form and its surprising presence in areas like casino gambling and even literary works such as Alice's Adventures in Wonderland.

A strong essay on mathematics in education should establish a focused thesis — either about teaching practice, curriculum design, or mathematics as a discipline — rather than attempting to cover all three at once. Evidence drawn from recognized standards, classroom research, or well-documented case studies carries the most weight. The most common pitfall is treating mathematics as purely procedural; examiners tend to reward essays that also engage with conceptual understanding and the broader role math plays in student learning and culture.

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Essay Doctorate

Constructivism in computerized learning: from Piaget to Papert

Constructivist theories of knowledge development and learning have been around since the turn of the 20th century. But it may well be the advent of computerized and e-learning educational opportunities that offer this perspective its real chance to make a difference in the virtual world of learning and instruction.

Essay Undergraduate

Descartes' rationalism and the Cartesian method of doubt

In philosophy, there is a theory that holds that we humans do not know things directly, but only by their particular impressions on what we observe, or attempt to understand. In other words, all knowledge is expressed…

Hume's distinction between relations of ideas and matters of fact

David Hume, in the fifth section of his work entitled, An Enquiry Concerning Human Understanding, dismisses the concept that reasoning is the foundation upon which conclusions are necessarily drawn.

Paper Doctorate

Teaching statistics effectively through real-world examples and relatable contexts

¶ … teaching of statistics and problems encountered in such teaching.

Paper Undergraduate

Alignment of K-12 curriculum with twenty-first century workforce needs

This is not your grandfathers' economy or his educational paradigm however; today's curriculum still appears as such and therein lays a very significant and challenging problem that presents to today's educators and leaders. According to Sir Ken Robinson, "We have a system of education that is modeled on the interest of industrialism and in the image of it. Schools are still pretty much organized on factory lines – ringing bells, separate facilities, specialized into separate subjects. We still educate children by batches." (Brain Pickings, 2012) Make no mistake in the opinion of Robinson who believes that divergent thinking most emphatically is not "…the same thing as creativity" because according to Robinson in his work proposing a new educational paradigm. Indeed this is also spoken of in the work of Zeng-tian and Yu-Le in their work "Some Thoughts on Emergent Curriculum" presented at the Forum for Integrated Education and Educational Reform (2004). The emergent curriculum has as its focus the "dialogue and cooperation on the basis of emergentism" stated to be representative of the "basic characteristics of the curriculum development and major direction in the future. It is the product of the critical reflection of the predefined curriculum, the objective demand of constructivist conceptions of knowledge and the basic content of curriculum returning back to the life-world." (Zeng-tian and Yu-Le, 2004)

Paper Undergraduate

Pre-service teacher knowledge construction in mathematics and science education

This well-conducted research studies how pre-service teachers of mathematics and sciences should construct knowledge in teaching and pedagogy. It is essential for teachers to have a deep understanding on the pedagogical content and knowledge necessary for use in school-based settings. The article reflects an in-depth research process by its authors. In this regard, the authors embraced the use of a qualitative methodology. The article significantly emphasizes on the process of constructing teacher knowledge, which is often relevant in a school-based setting. The use of qualitative methodology facilitated the collection of data on the process of knowledge construction. Various participants were involved in the research process. The article's case study is in the context of a context-specific inquiry, which looked into the issues of constructing teacher knowledge in mathematics and sciences. The conclusions put in clear that teachers have a core role in the implementation of a constructivist approach of learning. The research study has made the candidates be well informed about their respective instructional field expectations.

Research Paper Doctorate

Steven Shapin's challenge to the Scientific Revolution concept

In order to answer on the question about the existence of scientific revolution between 1500 and 1700 it's important to study this problem from different angles and different perspectives, because we should also know…

Paper Undergraduate

Mathematics and intuition in nursing practice: how nurses know

Nursing Epistemology: Personal and Kinesthetic Knowledge

Research Paper Doctorate

Statistics anxiety and academic performance in graduate students

STATISTICS ANXIETY and graduate students in the social sciences

Research Paper Undergraduate

Website redesign and promotional expansion strategy

The Internet has opened up a whole new opportunity for businesses to sell their products. During November 1 - December 3, 2006, retail spending on U.S. websites reached $12.42 billion.

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