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Factorizing applet

A Dustbin game is great for helping students to organise ideas into categories. Students or teachers can create up to four categories of factors. The game created by ClassTools.net then involves students dragging and dropping each factor into its correct category as quickly as possible in a "race against the clock"!

Dustbin Game template and ideas. Great idea for organizing information.

An online college math course under development including the following topics (so far): Sets Math Foundations Linear Equations Solving and Graphing Inequalities Graphing and Factoring Quadratic Equations Properties of Exponents Logarithms and Exponential Equations

Abstract:"Prime Climb is an educational game that provides individual support for learning number factorization skills in the form of hints based on a model of student learning. Previous studies with Prime Climb indicated that students may not always be paying attention to the hints, even when they are justified (i.e. based on a student model's assessment). In this thesis we will discuss the test-bed game, Prime Climb, and our re-implementation of the game which allowed us to modify the game dynamically and will allow for more rapid prototyping in the future. To assist students as they play the game, Prime Climb includes a pedagogical agent which provides individualized support by providing user-adaptive hints. We then move into our work with the eye-tracker to better understand if and how students process the agent's personalized hints. We will conclude with a user study in which we use eyetracking data to capture user attention patterns as impacted by factors related to existing user knowledge, hint types, and attitude towards getting help in general. We plan to leverage these results in the future to make hint delivery more effective."

This video is taken from the iTunes Visualiser called Jelly that makes pretty patterns that react in real time to the music that is playing. The patterns produced show rotational symmetry and could be used as an excellent resource in a starter or plenary on the topic.

Math activities proven successful with learning disabled students are presented, along with a description of factors that influence struggling special needs students.

In Educator's Algebra I course, instructor Dr. Grant Fraser walks you through the building blocks of mathematics, starting from Functions, Graphs, and Inequalities, to Factoring, Polynomials, and Rational Expressions. Utilizing his 27 years of teaching experience, UCLA educated (Ph.D and B.S.) Professor Fraser carefully explains each concept from multiple angles to ensure learners of any math ability can master Algebra. Dr. Fraser finishes off every idea with a reinforcing example in addition to the four worked-out video examples and things to remember at the end of each lecture.

"A report out examined the factors that influence 'maths anxiety' among primary and secondary school students, showing that teachers and parents may inadvertently play a role in a child's development of the condition, and that girls tend to be more affected than boys."

Abstract: "Students' attitudes toward mathematics and its learning have been subject to numerous studies in the past six decades. These studies treat such attitudes as both desirable learning outcomes and correlates of mathematics achievement. Many Likert-type attitude scales have been devised to measure significant constructs underlying mathematics-related attitudes, such as confidence, anxiety, and utility of mathematics. The psychometric properties of these attitude scales may be culture and age dependent. As part of a research project called Singapore Mathematics Assessment and Pedagogy Project (SMAPP), an effort was made to devise and validate an attitude toward learning mathematics scale that can be used with lower secondary school students in Singapore. This paper explains the use of exploratory and confirmatory factor analyses to reduce an initial 57-item questionnaire to one with 24 items that cover these six dimensions: Checking solutions, Confidence, Enjoyment, Use of IT in mathematics learning, Multiple solutions, and Usefulness of mathematics. The data comprise responses from about 890 Secondary 1 (Grade 7) students in 2010, who took the 57-item questionnaire, and another 850 students who took the 24-item questionnaire in 2011. The nature of the final questionnaire is discussed. This effort contributes to the continual effort to devise validated attitude scales that are suitable for different cultures and student groups."

Abstract: Educational videogames can be designed to provide instructional feedback that is responsive to specific actions. However, existing research indicates that students tend to ignore videogame feedback and subsequently use less effective help-seeking strategies. Research on help-seeking in learning environments has primarily focused on the role of cognitive factors, the nature of the help, or issues of timing and frequency. There is a noticeable gap in understanding regarding how to motivate and increase the use of feedback for improved learning. Using a pre-algebra videogame, this study examined the relationship between an incentive to use feedback and math achievement. A randomized-control design was employed, which compared learning outcomes of students who received the incentive to those who did not. Results indicated that students given the incentive to use feedback had significantly higher normalized change scores on math items (d = .53), with stronger effects for students with low academic intrinsic motivation (d = .88 - 1.17).

Abstract: "the researcher attempted to investigate how to better measure engagement and refine the measurement of engagement in this study. To frame the engagement, three domains of engagement - behavioral, cognitive, and emotional- are analyzed in detail to be able to examine the qualities of each type. Moreover, three game attributes -clear goals, immediate feedback, and balance between challenges and skills- are presented and discussed as fundamental features of virtual manipulatives and educational games used in this study to make an impact on students' engagement. To measure effects of educational games and virtual manipulatives on three domains of engagement, the researcher designed an engagement survey that examines each domain separately with their sub-domains. The Cronbach's alphas for engagement pre-test and post-test were found .89 and .91 respectively. In this pre-test and post-test quasi-experimental design, four fifth-grade classrooms (N=86) from four schools in southwest Virginia were assigned as three experimental groups and one control group. In the first experimental group, participants played an educational game called Candy Factory and in the second experimental group, the students played another educational game called Pearl Diver on iPod Touch for eight days consecutively, for 20 minutes each. In the third experimental group, participants performed activities with virtual manipulatives, whereas in the control group, participants did paper-and-pencil iii drills for the same duration. All of the groups studied on the same topic, fractions. According to the results of ANCOVA, experimental group students' engagement scores were found significantly higher than control group students', F(1,80)=11.568, p=.001. When three domains of engagement were analyzed, significant differences were found among all three domains between experimental and control groups. When the researcher conducted separate analysis for educational games group and vir

"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)

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."

Abstract: "Middle school students lack efficient problem solving skills due to several factors. The writing process has been linked to the development of students' problem solving skills. The present study investigated the impact of the writing process on the mathema tical problem solving skills for middle grades students. N = 96 students participated in a six weeks, after school STEM program, and they were randomly assigned into two groups: one focused on the writing process with mathematical problem solving and the o ther on homework/high stakes test preparation with mathematical problem solving. In this quantitative study, the results provide evidence that the students from the writing process group were more likely to generate and apply better problem solving skills as compared to the control group. This study further contributes to the support and importance of integrating different subjects across the generalized learning realm"

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An interactive White Board (IWB) or SMART Board has the potential to deliver content better than traditional methods of teaching. Why? Because it provides multi-media functional interaction across audio, video, and computer media. It is also ideal for visual, auditory, and kinesthetic learners. These qualities of an IWB also promote the dynamic delivery of content (if used to its full potential) in an engaging manner, which allows students to interact with science or math content their self. Examples include: * data manipulation * responding to data * even creating data So with all these attributes - "How are interactive white boards unsuccessfully used in science and math classrooms?" For the most part - not effectively!

Encouraging students to use critical thinking is more than an extension activity in science and math lessons, it is the basis of true learning. Teaching students how to think critically helps them move beyond basic comprehension and rote memorization. They shift to a new level of increased awareness when calculating, analyzing, problem solving, and evaluating.