experimental research topics in mathematics

Find over 240 ideas for quantitative research topics in science, technology, engineering, and math. Learn how to choose a topic, write a title, and explore different areas of STEM research.

Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.. Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.")

A survey of recent developments and applications of experimental mathematics, using modern computer technology as an active tool in mathematical research. The article covers topics such as integer relation detection, symbolic computation, geometry, and number theory.

Several topics in Experimental Mathematics by Andrew Lohr Dissertation Director: Dr. Zeilberger This thesis deals with applications of experimental mathematics to a number of problems. The rst problem is related to random graph statistics.We consider a certain class of Galton-Watson random trees and look at the total height statistic. We provide

The label "experimental mathematics" is today associated with the recent trend of using computer-based methods in mathematical research. As such, it can still be understood broadly, ranging from the use of computational tools for heuristic purposes, e.g., pointing to new results or to visualize a situation for obtaining a better understanding, to a more radical interpretation where ...

ICERM is a research institute at Brown University that hosts programs, workshops, and events on various topics in mathematics and related fields. Learn about upcoming programs, news, opportunities, and collaborations at ICERM.

Experimental mathematics is a methodology of doing mathematics that uses computation to discover and test mathematical patterns and principles. Learn about the tools, applications, and references of experimental mathematics from MathWorld, a Wolfram web resource.

The influence of linguistic factors on Mathematics teaching and learning is a classical topic in Mathematics education - see for instance the review by Schleppegrell (2007), ... Rebecca Boninsegna and Alice Lemmo who participated to the experimental part of the research; the teachers of the schools who collaborated to the data collection of ...

A textbook for a one-semester course in experimental mathematics using Maple software. It covers the basics of the field, the tools and techniques, and the applications to concrete problems.

New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of experimental research in the statement of new ...

An international survey in two rounds. Around the time when Educational Studies in Mathematics (ESM) and the Journal for Research in Mathematics Education (JRME) were celebrating their 50th anniversaries, Arthur Bakker (editor of ESM) and Jinfa Cai (editor of JRME) saw a need to raise the following future-oriented question for the field of mathematics education research:

Journal of Research and Advances in Mathematics Education Volume 5, Issue 2, June 2020, pp. 148 - 159 DOI: 10.23917/jramathedu.v5i2.10282 ... Furthermore, the study must use the experimental, quasi-experimental, or correlational design of the study. In addition, it must have means, standard deviations, p- ...

When using mathematics to solve problems in everyday life, problem solvers must recognize and formulate problems by themselves because structured problems are not provided. Therefore, in general education, fostering learner problem posing is an important task. Because novice learners have difficulty in composing mathematical structures (solutions) in problem posing, learning support to improve ...

From a philosophy of science standpoint, one must be clear that theoretical mathematics does not follow the scientific method. However, an important part of what mathematicians do in practice bears a lot of similarity to scientific experimentation. As a result, mathematical research has a similar flavor to scientific research in many respects.

This study investigated the effects of the problem-solving approach in enhancing the academic performance and attitude of first-year college students in College Algebra. The study utilized a pretest-posttest control group design and found that the experimental group outperformed the control group on the posttest and mean gain scores.

There is a strong linkage between mathematics and computers because more and more mathematics teachers have used computers in their teaching (Becker, 1991; Hargreaves et al., 2004). Mathematics courseware could be used to customize lessons and tutorials for individual students' needs based on built-in pre-tests (Holland, 2002).

Find quantitative, qualitative, experimental, and other research topics for STEM students in various levels and disciplines. Explore topics related to science, technology, engineering, and mathematics with examples and sources.

Differ. 40(7):1325−1335 Betz, N. E. (1978).prevalence, distribution and correlates of math anxiety in college students, Journal of Counseling Psychology, 25, 441- 448. [36] Ma,X.(1999) A meta-analisis of the relationship between anxiety toward mathematics and achievement in Mathematics. Journal for Research in mathematics Education,30(5),520540.

Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development ...

Conventional teacher-led instruction remains dominant in most elementary mathematics classrooms in Taiwan. Under such instruction, the teacher can rarely take care of all students. Many students may then continue to fall behind the standard of mathematics achievement and lose their interest in mathematics; they eventually give up on learning mathematics. In fact, students in Taiwan generally ...