Abstract: "The principal aim of this study is to find the weaknesses of secondary school students at geometry questions of measures , angles and shapes , transformations and construction and 3-D shapes. The year 7 curriculum contains 4 geometry topics out of 17 mathematics topics. In addition to this , this study aims to find out the mistakes, 28 , 7th grade students made in the last 4 exams including two midterms and two final exams.To collect data, students were tested on two midterms and two final exams using open-ended questions on geometry to analyze their problem solving skills and to test how much they acquired during the year.Frequency tables were used in data analysis.To fulfill this aim in the first midterm exam the subject measures were tested.In the first final exam which followed the first midterm exam in addition to measures and angles shapes skills were also tested. Following these tests , in the second midterm we tested the students on transformation and construction. A descriptive methodology and student interview were used in the study to analyze and interpret the results. The results from this study revealed that 7th grade secondary school students have a number of misconceptions, lack of background knowledge, reasoning and basic operation mistakes at the topics mentioned above."

" The use of logarithms, an important tool for calculus and beyond, has been reduced to symbol manipulation without understanding in most entry-level college algebra courses. The primary aim of this research, therefore, was to investigate college students' understanding of logarithmic concepts through the use of a series of instructional tasks designed to observe what students do as they construct meaning. APOS Theory was used as a framework for analysis of growth. APOS Theory is a useful theoretical framework for studying and explaining conceptual development. Closely linked to Piaget's notions of reflective abstraction, it begins with the hypothesis that mathematical activity develops as students perform actions that become interiorized to form a process understanding of the concept, which eventually leads students to a heightened awareness or object understanding of the concept. Prior to any investigation, the researcher must provide an analysis of the concept development in terms of the essential components of this theory: actions, process, objects, and schemas. This is referred to as the genetic decomposition. The results of this study suggest a framework that a learner may use to construct meaning for logarithmic concepts. Using tasks aligned with the initial genetic decomposition, the researcher made revisions to the proposed genetic decomposition in the process of analyzing the data. The results indicated that historical accounts of the development of this concept might be useful to promote insightful learning. Based on this new set of data, iterations should continue to produce a better understanding of the student's constructions. " (from the abstract)

A short video from TED-ed and animation studio Augenblick

From the abstract: "The problem addressed by this study is the need to identify practical predictors of success for community college developmental mathematics students in online, hybrid and seated course delivery formats. This study examined two possible predictors of success, mathematics self-efficacy and technology self-efficacy, in the three delivery formats and how they related to performance on a final assessment. The study used a quantitative research design employing binomial logistic regression to determine if the independent variables (math self-efficacy and technology self-efficacy) were significant in predicting the outcome category (score on the final assessment dichotomized about the mean). Next linear regression analysis was used to build a predictor equation for a particular score on the outcome variable. A previously developed survey and an adapted version of another survey were combined to measure the independent variables; demographic factors were also measured for descriptive purposes. Binomial logistic regression analysis showed that math self-efficacy was a valid predictor of success for the developmental math students in this study but technology self-efficacy was not. Regression analysis produced a valid equation to predict standard score from average math selfefficacy score. When separated into groups according to course format, math self-efficacy was only a valid predictor for students in hybrid courses. The implications of these results are discussed and recommendations are made for further research."

A response to Hacker's opinion piece in the Sunday New York Times, "Is Algebra Necessary," which argues for its usefulness, calls for better teaching, while acknowledges the difficulties of making that happen. Links to other blog responses to Hacker's piece.

An emeritus professor from Queens College questions algebra's role in quantitative literacy and workforce preparation

A pre-college bridge program using an assessment software is described, with some note of increased mentoring, tutoring availability and accommodations between first and second year implementation

Published by University of Chicago Press, July 2012. "Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science education is not equally available to all students, with some of the poorest students-those who would benefit most-going egregiously underserved. This ongoing problem with education highlights one of the core causes of the widening class gap. While this educational inequality can be attributed to a number of economic and political causes, in Empowering Science and Mathematics Education in Urban Communities, Angela Calabrese Barton and Edna Tan demonstrate that it is augmented by a consistent failure to integrate student history, culture, and social needs into the core curriculum. They argue that teachers and schools should create hybrid third spaces-neither classroom nor home-in which underserved students can merge their personal worlds with those of math and science. A host of examples buttress this argument: schools where these spaces have been instituted now provide students not only an immediate motivation to engage the subjects most critical to their future livelihoods but also the broader math and science literacy necessary for robust societal engagement. A unique look at a frustratingly understudied subject, Empowering Science and Mathematics Education pushes beyond the idea of teaching for social justice and into larger questions of how and why students participate in math and science. " Excerpts in Google Books

Abstract: "This research seeks to look into the design process that promotes the development of an educational computer game that supports teaching and learning processes. The research specifically looks at the design of an educational computer game for teaching and learning of the topic of functions. The topic is essential in the teaching and learning of Mathematics courses such as Discrete Mathematics, Real Analysis and Calculus among others at Jomo Kenyatta University of Agriculture and Technology (JKUAT) Kenya. The computer game was developed using the Basic Unified process (BUP) which is a streamlined version of the rational unified process (RUP). This is an object oriented methodology mostly used for small projects with few end users. Due to the few numbers of end users we used interview method of data collection to gather requirements for the computer game. A paper prototype was used to validate the requirements. Use cases were used for both analysis and design of the game while Class diagrams and activity diagrams were purely used for the design of the game. Owens' six top level design anatomy aided in the design of the computer game. The overall computer game design was based on Crawfords' computer game design sequence model. The well designed and developed game met all its user requirements and was able to facilitate the teaching and learning of functions to Bachelor of Science in Mathematics and Computer Science students who were taking Discrete mathematics in their first year of study at JKUATs' Taita/Taveta campus. Development of heuristics for measuring interest, fun and motivation are recommendations given to aid in the evaluation of user satisfaction of educational computer games."

Includes a literature review, challenges and drawbacks, and the use of discussion boards, feedback and student response systems.

Computer visualization, "For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one."

"In this paper, we will describe work that we have done in this direction using as a test-bed an edu-game for number factorization, Prime Climb. This game includes a pedagogical agent that provides adaptive interventions during game playing based on a model of student learning [13, 18]. Here we focus on how we re-implemented the original Prime Climb game into a framework that enables rapid prototyping and testing of different design hypothesis. We also discuss preliminary work on using eye tracking data on user attention patterns to better understand if and how students process the agent‟s adaptive interventions." (from the introduction)

A 2012 book from Springer focusing on international public math awareness activities

"The article reports the main insights gained from a study that implemented a game-enhanced learning environment for the training of pre-service elementary school teachers. Teachers taking an undergraduate mathematics methods course experienced some of the ways in which online educational games could help students internalize key mathematical concepts across the school curriculum while at the same time improving their attitudes towards the subject. The course also familiarized teachers with the design principles for constructivist gaming environments. Findings indicate a positive impact on teachers' competence in selecting, evaluating, and productively using online games as an instructional tool."

"the three major sections of the manual will be Fluency with Whole Numbers, Fluency with Fractions, and Particular Aspects of Geometry and Measurement. The Fluency with Whole Numbers section is further broken down into subcategories given the wealth of information for this area. The remaining two sections, Fluency with Fractions, and Particular Aspects of Geometry and Measurement are presented only as broad categories because the amount of available information is considerably limited relative to the whole number literature. Finally, two standard protocol interventions are presented as examples of comprehensive, evidence-based mathematics instruction that have been shown effective at increasing mathematics performance according to the Department of Education's What Works Clearinghouse."

Criticism of technology in math and science education, particularly asserts studies that outline benefits of tools either lack rigor or are effectively marketing for such resources.

(Abstract only online, full text requires subscription) "The pipeline toward careers in science, technology, engineering, and mathematics (STEM) begins to leak in high school, when some students choose not to take advanced mathematics and science courses. We conducted a field experiment testing whether a theory-based intervention that was designed to help parents convey the importance of mathematics and science courses to their high school-aged children would lead them to take more mathematics and science courses in high school. The three-part intervention consisted of two brochures mailed to parents and a Web site, all highlighting the usefulness of STEM courses. This relatively simple intervention led students whose parents were in the experimental group to take, on average, nearly one semester more of science and mathematics in the last 2 years of high school, compared with the control group. Parents are an untapped resource for increasing STEM motivation in adolescents, and the results demonstrate that motivational theory can be applied to this important pipeline problem. "

"This is an exploration of the hypothesis that unique belief systems depend for their coherence on distinctive patterns typically embodied in geometrical symbols in two dimensions. On the basis of that assumption, the case tentatively explored here is that of the "incommensurability" of the 5-fold Star of Islam and the 6-fold Star of David of Judaism -- both symbols appearing on flags of the nations having those distinct faiths. ... The approach taken here explores the possibility that the "pieces" only fit together on a three-dimensional surface, namely a sphere. It is the spherical geometry that then merits consideration, together with the challenge of how to get from any "mis-fitting" two-dimensional layout to a three-dimensional form. Of course, two-dimensional layouts are far more readily comprehensible. Hence the focus on them. However the three-dimensional layout has the potential of rendering comprehensible a far more elegant layout which may well exemplify intuitions characteristic of the faiths so dramatically opposed. The approach follows from various earlier explorations of the potential of mathematics to offer a new perspectives on these issues" ....

"The first webinar is July 17, 2012 at 3pm eastern/12noon pacific and will focus on creating accessible math images, giving participants a clear understanding of the end-to-end process of converting conventional math display into digital formats that can be accessed by students with print disabilities. Special attention will be given to the tools being created by the OSEP-funded DIAGRAM Center to facilitate image description. "

"June 23 marks the 100th birthday of Alan Turing. If I had to name five people whose personal efforts led to the defeat of Nazi Germany, the English mathematician would surely be on my list."