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Garrett Eastman

Mathematics Career Simulations: An Invitation - 3 views

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    Abstract: "A simulated academic career was combined with inquiry-based learning in an upper-division undergraduate mathematics course. Concepts such as tenure, professional conferences and journals were simulated. Simulation procedures were combined with student-led, inquirybased classroom formats. A qualitative analysis (ethnography) describes the culture that emerged within the simulation during a pilot test. A discussion follows evaluating the potential for career simulations to invite students to consider graduate studies and academic careers in the STEM disciplines."
Garrett Eastman

NURTURING CREATIVITY IN MATHEMATICS FOR ELEMENTARY SCHOOL STUDENTS: A CHALLENGING SITUA... - 5 views

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    From the abstract: "Studies on creative mathematics conducted in the past decades revealed that the importance of creation of learning and teaching environment favourable to the identification and nurturing creativity in mathematics. Based on psychological, methodological and didactical models created by Krutetskii (2006), Shchedrovtiskii (2008), Brousseau (2007) and Sierpinska (2004), we have developed our challenging situation approach. During 5 years of field study in the elementary grade VII classroom, we collected sufficient amount of data that demonstrate how these challenging situations help to discover and to boost mathematical creativity in very young children, keeping and increasing their interest towards more advanced mathematics curriculum. This article is an humble attempt to present our model and illustrate how it works in the mixedability classroom. We will also discuss different roles that teachers and students might play in this kind of environment and how each side could benefit from it."
Garrett Eastman

CREATIVE LITTLE SCIENTISTS: Enabling Creativity through Science and Mathematics in Pres... - 3 views

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    "This National report examines the way in which teaching, learning and assessment is conceptualised in Welsh policy for early years science and mathematics, and the role for creativity. This report is one of 13 European national policy reports that are contributing to the Creative Little Scientist Project deliverable (D3.2 Report on Mapping and Comparing Recorded Practices) mapping and comparing policy approaches across Europe. In order to map the key messages in Welsh policy, as well as allow comparisons with other nations, this report draws upon a survey instrument used to rate the extent to which certain approaches, and the role of creativity is emphasised across relevant policy documents in this area. In the case of Wales, this was largely based upon the Framework for Children's Learning for 3 to 7 year olds in Wales, Play/Active Learning: overview for 3 to 7 year olds, the National Curriculum documents for Key Stage 2, associated assessment documents and inspection reports. "
Garrett Eastman

Adaptive Interaction Design for Online Mathematics Education: The Way of the Game - 8 views

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    Abstract: "Together, brain science and learning design inform Adaptive Interaction Design (AID), a technique for curriculum planning and development. Mathematics is a particular case in which AID can help. The Way of the Game is vital to learning design. There are many definitions of "game." Here, we mean game to be the means by which spontaneous play becomes responsible learning. That innovative games figure as the centerpiece of many 21st century curricula is no accident. Games are a critical element in modern theories of learning design especially when related to insights from neuroscience and online learning/teaching methods. But beyond simple gamification, can games provide the disruptive transformation to mathematics education that is required to effect substantive and sustainable improvement? Can we game the educational system to ensure students' success in mathematics? To find out, we will look at the AID process and two sample products for the development of mathematical thinking and practice based on the Way of the Game."
Garrett Eastman

A COLLABORATIVE CROSS NUMBER PUZZLE GAME TO ENHANCE ELEMENTARY STUDENTS' ARITHMETIC SKILLS - 5 views

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    Abstract: "In traditional mathematics education, students have typically been asked to solve lots of tedious and uninteresting exercises for developing the arithmetic skills of addition and subtraction. The paper provides an account of learning arithmetic skills in a more interesting way through the collaborative playing of a puzzle game. 83 students in three classes in Grade 4 were asked to solve arithmetic problems with three different methods: via playing an adapted "cross number puzzle" game on Group Scribbles (GS) collaboratively, via playing the same game on GS individually, and via the traditional method of teaching and learning, i.e. with no games at all. Analysis of the pre and post learning achievement data reveals that the two classes who played the game performed better than the control class, with the collaborative class students achieving better than the individual class students. By playing the game, low-ability students, in particular, made the most significant progress in arithmetic capability and in building up their confidence in doing arithmetic calculations."
Garrett Eastman

Relationship between Motivation and Student's Activity on Educational Game - 10 views

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    Discusses theory of motivational learning in educational games and presents a research study involving 115 elementary school students in math class using digital game-based learning
Garrett Eastman

Adding Achievements to Tutoring Applications - 4 views

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    A study on the efficacy of introducing game-like achievements in classroom learning, with math as one of the examples, see appendices
Garrett Eastman

Prime Climb: An Analysis of Attention to Student-Adaptive Hints in an Educational Game - 4 views

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    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."
Garrett Eastman

Self-Identified Capabilities and Experiences with Mathematics of Adults Who Have Taken ... - 1 views

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    "Abstract: Some were born to do math, some persevered past fearful environments, while others withdrew. In this qualitative study, adults describe life with algebra and the meaning they sought. For all, pedagogy was critical, either positively or negatively; and all found salvation in intervention."
Garrett Eastman

An Investigation of Participants' Perspectives About a Learning Assistant Program and T... - 0 views

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    Abstract: "A Learning Assistant program that recruits strong STEM undergraduates to become mathematics teachers was explored through a qualitative study. Three program participants were purposely selected and interviewed. The program reaffirmed one participant's choice to become a teacher and clarified for one that it might be a career for him."
Garrett Eastman

Virtual Mathematics - Higher Education for the 21st Century - 1 views

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    Summaries of presentations from a symposium at Florida International University in 2012
Garrett Eastman

The Views of High School Geometry Teachers regarding the Effect of Technology on Studen... - 9 views

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    From the abstract: "The purpose of this study was to find out from current high school math teachers, of geometry specifically, what their views of technology are. The goal of the study was to ask these teachers which technologies they use and whether they believe technology has beneficial effects on student learning. Data was collected for the survey by asking teachers to take brief electronic surveys and conduct in-person interviews. All questions in both the survey and interviews were focused on the effects of technology that they see in their classrooms. The scope of the participants was restricted to Columbus, Ohio, and thus, generalizations for any classroom or any school building cannot be made. However, this study did find a consensus among the participants as to which technologies they felt were the most beneficial in their classrooms, as well as those that might not be needed at all in a classroom. The three technologies that these teachers claimed to be the most beneficial were SMART boards, TI-nspire calculators and Geometer's Sketchpad/GeoGebra. Again, this study cannot make solid conclusions, but it is safe to say that this study gives insight into teachers' viewpoints, which, in a sense, are more important than those of outside researchers. The teachers agreed on a few technologies that are the most beneficial and thus future studies should focus on really studying the effects of these technologies as well as focus on getting a wider range of teachers' opinions on this topic."
Garrett Eastman

The "Mathlash" To Silicon Valley's Move Into Education - 11 views

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    Mathematics teachers disagreeing with the math teaching methods espoused by the Khan Academy, including words from a Stanford PhD candidate: ""When you attempt to distribute mathematics through any of these media [such as YouTube videos, digital photos, MP3s, PDFs, blog posts, spoken words, and printed text] it changes the definition of mathematics."
Garrett Eastman

IMPACT OF INCENTIVES ON THE USE OF FEEDBACK IN EDUCATIONAL VIDEOGAMES - 3 views

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    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).
Garrett Eastman

NCTM Catalog - Motivation and Disposition: Pathways to Learning Mathematics - 73rd Year... - 4 views

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    Motivation and Disposition: Pathways to Learning Mathematics - 73rd Yearbook (2011) Product Description Daniel J. Brahier, Volume Editor and William R. Speer, General Editor "Teaching mathematics is a much broader endeavor than simply helping students to acquire skills and problem-solving strategies. ...NCTM's seventy-third yearbook examines such elements as the demographic composition of a school; the role of movies, television, and the Internet; and nontraditional pedagogy as means of promoting and influencing positive student and teacher dispositions." Of particular interest is Chapter 9 "What Motivates Mathematically Talented Young Women?," which evidently reports on high school girls at a summer camp. Available for .pdf download via purchase, or in a library: http://www.worldcat.org/oclc/715171259
Garrett Eastman

Design of Trigonometry Apps for Vocational Education - 7 views

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    Abstract: "How can smartphones apps enrich the learning of mathematics in vocational education? This article examines how mathematics teaching can be enriched by apps using smartphone sensors such as gyroscope, compass, camera, and touch screen in a gaming context. An iterative and participatory design process involving two classes of carpentry students from different vocational colleges resulted in two highly successful and course-relevant games based on trigonometry. Each game consists of quests and missions whose successful completion unlocks more theoretical multiple-choice exercises for the classroom. The combination of competition to unlock exercises, competition for placing on the high-score list, and physical activity proved very motivating for the students and was also approved by their teachers. In this article we describe our design principles, the overall game architecture and the games themselves. We talk about our experience in implementing our design process and subsequently summarize the pros and cons of the application and the smartphone platform and how the app developed contributes to vocational mathematics teaching"
Garrett Eastman

Proceedings of the Fourth Annual Teachers College Educational Technology Conference - 3 views

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    From a conference held May 19-20, 2012, includes: "Math Strategies in Digital Storytelling: Effects of Multiple Pedagogical Agents on Learning Single-Digit Addition Strategies", "Connected to Word Problems: Improving Mathematical Problem Solving While Exergaming," "Digital Modeling Artifacts as Geometric Thinking & Learning: Top, Side and Perspective Views to Improve Spatial Abilities," "Credibility of Culturally Situated Design Tools: Mathematics and Black Identity," "The Use of Dynamic Geometry Software for the development of Specialized Subject Matter Knowledge."
Garrett Eastman

Prepare, Practice, Partner: Innovative Strategies from the Robert Noyce Teacher Schola... - 10 views

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    Report from AAAS on program to recruit new generation of math and science teachers
Garrett Eastman

Measuring Engagement Effects of Educational Games and Virtual Manipulatives on Mathematics - 9 views

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    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
Garrett Eastman

GAME-ENHANCED MATHEMATICS LEARNING FOR PRE-SERVICE PRIMARY SCHOOL TEACHERS - 3 views

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    "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."
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