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Virtual Manipulatives For Mathematics
Virtual math manipulatives are visual representations of concrete math manipulatives. They are digitally accessed through a variety of websites or apps through tablets, phones and computers. Virtual math manipulatives are modeled after concrete math manipulatives that are commonly used in classrooms to concretely represent abstract mathematical concepts and support student understanding of mathematical content. The most common manipulatives include: ''base ten blocks, coins, blocks, tangrams, rulers, fraction bars, algebra tiles, geoboards, geometric plane, and solids figures.'' Students can engage virtually/digitally with the manipulatives mimicking the use the of the concrete math manipulatives. Advantages and Disadvantages Classroom studies were conducted which investigated virtual manipulatives. The studies compare virtual manipulatives to concrete manipulatives and discuss some of its implications. Advantages The observed learning benefits of virtual manipulatives ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Base Ten Block
Base ten blocks, also known as multibase arithmetic blocks (MAB) or Dienes blocks (after their creator, mathematician and educationalist Zoltán Pál Dienes), are a mathematical manipulative used by students to learn basic mathematical concepts including addition, subtraction, number sense, place value and counting. The student can manipulate the blocks in different ways to express numbers and patterns. Generally, the three-dimensional blocks are made of a solid material such as plastic or wood and come in four sizes to indicate their individual place value: Units (ones place), Longs (tens place), Flats (hundreds place) and Blocks (thousands place). There are also computer programs available that simulate base ten blocks. Use in mathematics instruction Base ten blocks are popular in elementary school mathematics instruction, especially with topics that students struggle with such as multiplication. They are frequently used in the classroom by teachers to model concepts, as wel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Solid
In mathematics, solid geometry or stereometry is the traditional name for the geometry of Three-dimensional space, three-dimensional, Euclidean spaces (i.e., 3D geometry). Stereometry deals with the measurements of volumes of various solid figures (or 3D figures), including Pyramid (geometry), pyramids, Prism (geometry), prisms and other polyhedrons; Cylinder (geometry), cylinders; cone (geometry), cones; Frustum, truncated cones; and ball (mathematics), balls bounded by spheres. History The Pythagoreanism, Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonism, Platonists. Eudoxus of Cnidus, Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius.Paraphrased and taken in part from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computable Document Format
Computable Document Format (CDF) is an electronic document format designed to allow authoring dynamically generated, interactive content. CDF was created by Wolfram Research, and CDF files can be created using Mathematica. As of 2021, the Wolfram Research website lists CDF as a "legacy" format. Features Computable Document Format supports GUI elements such as sliders, menus, and buttons. Content is updated using embedded computation in response to GUI interaction. Contents can include formatted text, tables, images, sounds, and animations. CDF supports Mathematica typesetting and technical notation. Paginated layout, structured drill down layout, and slideshow mode are supported. Styles can be controlled using a cascading style sheet. Reading CDF files can be read using a proprietary CDF Player, downloadable from the Wolfram Research website but with a restricted license. In contrast to static formats such as PDF, the CDF Player contains an entire runtime library of Mathematica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolfram Demonstrations Project
The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields. It is hosted by Wolfram Research, whose stated goal is to bring computational exploration to a large population. At its launch, it contained 1300 demonstrations but has grown to over 10,000. The site won a Parents' Choice Award in 2008. Technology The Demonstrations run in '' Mathematica'' 6 or above and in '' Wolfram CDF Player'' which is a free modified version of Wolfram's ''Mathematica'' and available for Windows, Linux and macOS and can operate as a web browser plugin. They typically consist of a very direct user interface to a graphic or visualization, which dynamically recomputes in response to user actions such as moving a slider, clicking a button, or dragging a piece of graphics. Each Demonstration also has a brief description of the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Digital Learning
Digital learning is any type of learning that is accompanied by technology or by instructional practice that makes effective use of technology. It encompasses the application of a wide spectrum of practices, including blended and virtual learning. Digital learning is sometimes confused with online learning or e-learning; digital learning encompasses the aforementioned concepts. Digital learning has become widespread during the COVID-19 pandemic. Overview A digital learning strategy may include any of or a combination of any of the following: * adaptive learning * badging and gamification * blended learning * classroom technologies * e-textbooks * learning analytics * learning objects * mobile learning, e.g. mobile phones, tablet computers, laptops, computers. * personalised learning * online learning (or e-learning) * open educational resources (OERs) * technology-enhanced teaching and learning * virtual reality * augmented reality Through the use of mobile technologies, lea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kinesthetic Learning
Kinesthetic learning (American English), kinaesthetic learning (British English), or tactile learning is learning that involves physical activity. As cited by Favre (2009), Dunn and Dunn define kinesthetic learners as students who prefer whole-body movement to process new and difficult information. However, scientific studies do not support the claim that using kinesthetic modality improves learning in students identified as kinesthetic learning as their preferred learning style. History Kinesthetic intelligence, which was originally coupled with tactile abilities, was defined and discussed in Howard Gardner's '' Frames Of Mind: The Theory of Multiple Intelligences'' in 1983. In this book, Gardner describes activities such as dancing and performing surgeries as requiring great kinesthetic intelligence: using the body to create (or do) something. Margaret H'Doubler wrote and spoke about kinesthetic learning during the 1940s, defining kinesthetic learning as the human body's abili ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Digital Native
The term digital native describes a person who has grown up in the information age. Often grouped into Millennials, Generation Z, and Generation Alpha, these individuals can consume digital information and stimuli quickly and comfortably through electronic devices and platforms such as computers, mobile phones, and social media. Digital natives are distinguished from digital immigrants, people who grew up in a world dominated by print and television because they were born before the advent of the Internet. These two terms are often used to describe the digital generation gap in terms of the ability of technological use among people born after 1980 and those born before. The term digital native is a highly contested concept, being considered by many education researchers as a persistent myth not founded on empirical evidence and many argue for a more nuanced approach for understanding the relationship between digital media, learning and youth. Origin Native–immigrant analogy ter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manipulative (mathematics Education)
In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience. The use of manipulatives in mathematics classrooms throughout the world grew considerably in popularity throughout the second half of the 20th century. Mathematical manipulatives are frequently used in the first step of teaching mathematical concepts, that of concrete representation. The second and third steps are representational and abstract, respectively. Mathematical manipulatives can be purchased or constructed by the teacher. Examples of common manipulatives include number lines, Cuisenaire rods; fraction strips, blocks, or stacks; base ten blocks (also known as Dienes or multibase blocks); interlocking linking cubes (such as Unifix); construction sets (such as Polydron and Zome ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plane (geometry)
In mathematics, a plane is a Euclidean (flat), two-dimensional surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. Planes can arise as subspaces of some higher-dimensional space, as with one of a room's walls, infinitely extended, or they may enjoy an independent existence in their own right, as in the setting of two-dimensional Euclidean geometry. Sometimes the word ''plane'' is used more generally to describe a two-dimensional surface, for example the hyperbolic plane and elliptic plane. When working exclusively in two-dimensional Euclidean space, the definite article is used, so ''the'' plane refers to the whole space. Many fundamental tasks in mathematics, geometry, trigonometry, graph theory, and graphing are performed in a two-dimensional space, often in the plane. Euclidean geometry Euclid set forth the first great landmark of mathematical thought, an axiomatic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Base Ten Blocks
Base ten blocks, also known as multibase arithmetic blocks (MAB) or Dienes blocks (after their creator, mathematician and educationalist Zoltán Pál Dienes), are a mathematical manipulative used by students to learn basic mathematical concepts including addition, subtraction, number sense, place value and counting. The student can manipulate the blocks in different ways to express numbers and patterns. Generally, the three-dimensional blocks are made of a solid material such as plastic or wood and come in four sizes to indicate their individual place value: Units (ones place), Longs (tens place), Flats (hundreds place) and Blocks (thousands place). There are also computer programs available that simulate base ten blocks. Use in mathematics instruction Base ten blocks are popular in elementary school mathematics instruction, especially with topics that students struggle with such as multiplication. They are frequently used in the classroom by teachers to model concepts, as well as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geoboard
A geoboard is a mathematical manipulative used to explore basic concepts in plane geometry such as perimeter, area and the characteristics of triangles and other polygons. It consists of a physical board with a certain number of nails half driven in, around which are wrapped geo bands that are made of rubber. Normal rubber bands can also be used. Geoboards were invented and popularized in the 1950s by Egyptian mathematician Caleb Gattegno (1911-1988). Structure and use Geoboard is a board. A variety of boards are used. Originally made out of plywood and brass nails or pegs, geoboards are now usually made out of plastic. They may have an upright square lattice of 9, 16 or 25 nails or more, or a circle of nails around a central nail. Students are asked to place rubber bands around the nails to explore geometric concepts or to solve mathematical puzzles. Geoboards may be used to learn about: * plane shapes; * translation; * rotation; * reflection; * similarity; * co-ordination ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra Tiles
Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra. These tiles have proven to provide concrete models for elementary school, middle school, high school, and college-level introductory algebra students. They have also been used to prepare prison inmates for their General Educational Development (GED) tests.Kitt 2000. Algebra tiles allow both an algebraic and geometric approach to algebraic concepts. They give students another way to solve algebraic problems other than just abstract manipulation. The National Council of Teachers of Mathematics (NCTM) recommends a decreased emphasis on the memorization of the rules of algebra and the symbol manipulation of algebra in their ''Curriculum and Evaluation Standards for Mathematics''. According to the NCTM 1989 standards " lating models to one another builds a better understanding of each".Stein 2000. Examples Solving linear equations using addition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
