Effective teaching is at the heart of science and math education. Good teachers of science and math create environments in which they and their students work together as active learners.
Create a number line worksheet using whole and decimal numbers.
Note that only the answer screen is shown on the screen, but when you print you will get both the question and answer sheets.
http://ictmagic.wikispaces.com/Maths
"PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members."
Movie box office data that is current and very comprehensive. Several different trends are easy to track including exponential, and log functions. Great for using with students to create regression models, making predictions based on the models, checking the results and re-analyzing. Also, when a movie doesn't follow the predictions there are often easy to understand reasons for why the movies behave differently (a holiday weekend may cause the movie to gross more on a given weekend than predicted, etc.)
Conceived by Mathematica creator and scientist Stephen Wolfram as a way to bring computational exploration to the widest possible audience, the Wolfram Demonstrations Project is an open-code resource that uses dynamic computation to illuminate concepts in science, technology, mathematics, art, finance, and a remarkable range of other fields.\n\nIts daily-growing collection of interactive illustrations is created by Mathematica users from around the world, who participate by contributing innovative Demonstrations.
" The customized interface creates a one-to-one learning environment with the professor while emphasizing graphical explanations and working through solution steps. Below each lecture video are detailed notes which highlight the most important points to remember as well as common student pitfalls. A powerful search engine also locates the exact time in a lecture your problem topic is discussed. Lastly, student comments are moderated by our instructors make sure any questions you have are answered."
James Barrett and the Kent ICT team have created this wonderful interactive number square, which has a huge range of options. You can set the square to show whole numbers and decimals, starting at a number of your choice (including zero). You can alter the number of rows shown and use colouring options to highlight particular numbers / groups of numbers…
The goal of the Place Value Game is to create the largest possible number from the digits the computer gives you. Unfortunately, the computer will give you each digit one at a time and you won't know what the next number will be. You are not allowed to rearrange any of the digits you have already placed, so think carefully before you lock a number in place! Good luck!
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The website says: "THE Place For Educational Games!Our research-based and standards-aligned free educational math games and language arts games will engage, motivate, and help teach students. Click a button below to play our free multi-player and single-player games! In the future we'll add features enabling you to save records, tailor content for differentiated instruction, and pinpoint student problem areas."
I think using the games in conjunction with a holistic approach to developing skills would make for a great way of getting students to practices some skills. Let students play, set goals, monitor those goals, reflect on their progress, and apply strategies/heuristics to specific problems they struggle with would create an environment in the classroom where learning was fun, self-monitored, and successful.
Lure of the Labyrinth is today's innovative catch
Lure of the Labyrinth is a game for middle school pre-algebra students designed to improve math and literacy skills. It includes intriguing math-based puzzles embedded in a narrative game in which students work to find their lost pet and save the world from monsters. Linked to mathematics standards, the game gives students a chance to think like mathematicians.
Lure of the Labyrinth Home Page
In Lure of the Labyrinth, students progress through three sections, or wings each related to a different math strand that is part of a the typical pre-algebra curriculum:
* Proportions (including fractions and ratios)
* Variables and Equations
* Number and Operations (including geometry, order of operations and modular arithmetic)
Each of the three wings includes three puzzles, and each of the puzzles has three levels progressing from easy to hard. Students have to successfully solve each puzzle three times before they can advance through the game.
Lure of the Labyrinth Library Page
A professional development video specifically designed for pre-algebra teachers takes them step-by-step through the things they need to do to make this engaging game the focal point of great classroom learning experiences.
Planning resources include links to standards, directions for working with specific puzzles, lesson plans, explanations of the background math, and graphic organizers.
Video - Lure of the Labyrinth
Lure of the Labyrinth was created by Maryland Public Television and MIT Education Arcade in cooperation with FableVision.
created a fully functional, browser-based graphing calculator. The calculator performs all of the functions you would expect to see in a graphing calculator with a couple of extras that you don't find in typical graphing calculators. Desmos allows you to share your equations and graphs through a Bit.ly link. Desmos graphs your equations as you type them and redraws them as you alter your equations.
"In September we introduced the new curriculum across all subjects and all of our school. This was scaffolding using the Chris Quigley's Essentials materials, during the previous year we had used a numeracy curriculum created by teachers within the Deal Learning Alliance, which a great source and piece of collaborative work in its own right, held too many links back to APP statement and old national curriculum levels. As as school we were finding that the DLA maths document did not provide the scaffold for the raised expectations in mathematics primary curriculum, furthermore, the deeper into the curriculum we delved, the harder it seemed to make the teaching, learning and assessment work efficiently."
by dr. sarah-marie belcastro, "You might wonder why one would want to knit mathematical objects. One reason is that the finished objects make good teaching aids; a knitted object is flexible and can be physically manipulated, unlike beautiful and mathematically perfect computer graphics. And the process itself offers insights: In creating an object anew, not following someone else's pattern, there is deep understanding to be gained. To craft a physical instantiation of an abstraction, one must understand the abstraction's structure well enough to decide which properties to highlight. Such decisions are a crucial part of the design process, but for the specifics to make sense, we must first consider knitting geometrically."
From the abstract: "ew innovations by math-
ematicians themselves are starting to harness the power of
social computation to create new modes of mathematical
production. We study the effectiveness of one such system,
and make proposals for enhancement, drawing on AI and
computer based mathematics. We analyse the content of a
sample of questions and responses in the community ques-
tion answering system for research mathematicians,
math-
overflow
. We find that
mathoverflow
is very effective, with
90% of our sample of questions answered completely or in
part. A typical response is an informal dialogue, allowing
error and speculation, rather than rigorous mathematical
argument: 37% of our sample discussions acknowledged er-
ror. Responses typically present information known to the
respondent, and readily checked by other users: thus the
effectiveness of
mathoverflow
comes from information shar-
ing. We conclude that extending and the power and reach of
mathoverflow
through a combination of people and machines
raises new challenges for artificial intelligence and compu
ta-
tional mathematics, in particular how to handle error, anal
-
ogy and informal reasoning."
Abstract: "The purpose of this study is to propose a design principle and framework of
educational control (in particular, method for collaborative learning support) that induces
and activates interaction between learners intentionally to create a learning opportunity that
is based on the knowledge understanding model of each learner. In this paper, we explain the
design philosophy and the framework of our game-based learning environment (GBLE)
called "Who becomes the king in the country of mathematics?". In addition, we describe the
method of collaborative learning support control that incorporates a "learner support agent"
to support each learner and a "game control agent" to control the game into the learning
environment."
"To help teachers and students succeed on the Algebra 1 End-of-Course exam (EOC), the University of Florida and Study Edge have created Algebra Nation - a FREE, online, easy-to-use, EOC preparation resource aligned with the latest state standards."