From the abstract (full text requires subscription or purchase): "Though cooperative learning has been a topic of considerable interest in educational research, there has been little study specific to learning in the mathematics content area of geometry. This paper seeks to address that gap through a design experiment featuring a novel small-group computing environment for supporting student learning about quadrilaterals. In this design, each student controls a unique point in a shared geometric space, and those points are linked such that a group of four students collectively forms a quadrilateral. We first present results from pre- and post-measures to show how the students learned from the activities and developed in terms of geometric reasoning. We then present three episodes, elaborated with the notion of appropriation, to explain how students took up ways of using the technological tools and of talking about geometric concepts from one another in the interactive environment. Our study found that students achieved learning gains in this novel environment, that the environment provided rich opportunities for peer interaction around geometric objects, and that student learning opportunities and interactions were characterized by processes of appropriating ways of talking about and using software features."
(abstract only, full text requires subscription or purchase) "We analyze the logs of an online mathematics game tournament, played simultaneously by thousands of students. Nearly 10,000 students, coming from 356 schools from all regions in Chile, registered to the fourth tournament instance. The children play in teams of 12 students from the same class, and send their personal bets to a central server every 2 minutes. Each competition lasts about one clock hour and takes place within school hours. Students are pre-registered and trained by their school teacher. The teacher is responsible for reviewing curriculum contents useful for improving performance at the game and coaches students participating in trial tournaments taking place a few weeks before the national tournament. All bets are recorded in a database that enables us to analyze later the sequence of bets made by each student. Using cluster analysis with this information, we have identified three types of players, each with a well-defined strategy. "
(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. "
Abstract: "The purpose of this chapter is to provide pedagogical strategies and discuss ideas about teaching mathematics using GeoGebra that promote effective use of visualization in a technology-integrated dynamic environment. The author describes his work with prospective secondary mathematics teachers enrolled in a methods course. The results of the study revealed that their perspectives on teaching and learning mathematics with technology were enriched as they worked individually and in small groups to develop and present lessons with GeoGebra, suggesting that creating a collaborative environment for our prospective teachers is as important as incorporating dynamic mathematics software into our teacher education courses." (Full text requires subscription or purchase)
"There may be a reason you can't figure out some of those math problems in your son or daughter's math text and it might have nothing at all to do with you. That math homework you're trying to help your child muddle through might include problems with no possible solution." Lack of quality control in text publishing described and evaluation suggestions for parents offered.
Abstract only online, full text requires subscription or purchase. Results of one study of 10-12 year old children in eight classrooms in three Australian primary schools leads researchers to suggest "educators should carefully consider the application and appropriateness of games before employing them as a vehicle for introducing mathematical concepts. "
Interactive whiteboards (IWB) allow science and math teachers to teach multi-sensory lessons, seamlessly jumping from one type of media to another. Interactive science or math lessons can easily integrate text, sound, video, and graphics based on the tactile nature of the IWB.
Google Docs is an easy-to-use online word processor that enables you to create, store, share, and collaborate on documents with your science and math students. You can even import any existing document from Word and Simple Text. You can work from anywhere and with any computer platform to access your documents.
"This website is designed for educators who wish to extend the concepts of the math curriculum beyond the pages of the text. Google Earth is the dynamic tool that will be used to accomplish this."
Want to let students explore with real data then welcome to FRED® (Federal Reserve Economic Data), a database of 25,176 U.S. economic time series. With FRED® you can download data in Microsoft Excel and text formats and view charts of data series.
Students can explore data, create models & hypothesis, and test their models as the year progresses. If their models aren't working they can go back to their original data set and make changes based on what they've learned and see how those predictions work on new data. The best part is the variety of data that is available.
We plan to continually improve FRED® and encourage you to send feedback through our contact form.
From the abstract: "This research examined the effects of the objectifying gaze on math performance, interaction motivation, body surveillance, body
shame, and body dissatisfaction. In an experiment, undergraduate participants (67 women and 83 men) received an objectifying
gaze during an interaction with a trained confederate of the other sex. As hypothesized, the objectifying gaze caused decrements
in women'smath performance but notmen's. Interestingly, the objectifying gaze also increased women's, but notmen's,motivation
to engage in subsequent interactions with their partner. Finally, the objectifying gaze did not influence body surveillance, body
shame, or body dissatisfaction forwomen or men. One explanation for themath performance and interaction motivation findings is
stereotype threat. To the degree that the objectifying gaze arouses stereotype threat, math performance may decrease because it
conveys that women's looks are valued over their other qualities. Furthermore, interaction motivation may increase because
stereotype threat arouses belonging uncertainty or concerns about social connections. As a result, the objectifying gazemay trigger
a vicious cycle in which women underperform but continue to interact with the people who led them to underperform in the first
place. Implications for long-term consequences of the objectifying gaze and directions for future research are discussed." (Full text available online (.pdf) )for now) ) (Winner of the 2011 Georgia Babladelis Best Paper Award)
From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."
From the abstract: "We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry." (Full text requires subscription.
Fundamentals of Mathematics is a work text that covers the traditional topics studied in a modern prealgebra course, as well as topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who (1) have had a previous course in prealgebra, (2) wish to meet the prerequisite of a higher level course such as elementary algebra, and (3) need to review fundamental mathematical concepts and techniques. NOTE: This collection is a work in progress, and the content has not yet been marked up in CNXML. You can download PDF copies of individual chapters in from their respective modules.
The Middle School Portal 2: Math and Science Pathways project (MSP2) is a component of the National Science Digital Library (NSDL) that supports middle school educators and youth by offering contextualized, high-quality resources and promotes interactivity, collaboration, and knowledge-sharing among its users. Educators can access MSP2 to increase content knowledge in the areas of science, mathematics, and technology, and to build knowledge on developmentally appropriate pedagogy for youth aged 10 to 15. MSP2 also connects middle school youth to fun and engaging information on math, science, and technology, as well as health, safety, and career exploration. Web tools such as blogs, wikis, podcasts, RSS feeds, and social networking services are being used in the continued development of MSP2 to transform passive, text-based information into a dynamic, collaborative experience that promotes the creation, modification, and sharing of resources, and facilitates professional development. MSP2 is a project of The Ohio State University, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation.