modern elementary mathematics is the theory and practice of basic mathematics teaching according to contemporary research and thinking about learning. These can include pedagogical ideas, mathematical education research frameworks, and curricular materials.
In practicing modern basic mathematics, teachers can use new and emerging media and technologies such as social media and video games, as well as applying new teaching techniques based on individualized learning, in-depth study of the psychology of mathematics education, and the integration of mathematics. with science, technology, engineering, and art.
Video Modern elementary mathematics
Praktik umum
Area matematika
Making all areas of mathematics accessible to children is the main goal of modern mathematical mathematics. Writer and academic Liping Ma calls for "a deep understanding of fundamental mathematics" by elementary school teachers and parents of learners, as well as learners themselves.
- Algebra: Early algebra includes a basic mathematical approach that helps children generalize numbers and make ideas.
- Probability and statistics: Modern technology makes probabilities and statistics accessible to SD students with tools such as computer-assisted data visualization.
- Geometry: Specially developed physical and virtual manipulations, as well as interactive geometry software, can create geometries (beyond basic sorting and measurement) available to elementary students.
- Calculus: New innovations, such as Don Cohen's map to calculus, developed using children's work and level of understanding, make calculus accessible to primary school students.
- Troubleshooting: Creative troubleshooting, in contrast to exercises in arithmetic, such as adding or multiplying numbers, is now a major part of basic math.
Other mathematical fields such as logical reasoning and paradox, which are usually reserved for advanced student groups, are now integrated into a more important curriculum.
Use of psychology
Psychology in mathematics education is the domain of applied research, with many recent developments relevant to basic mathematics. The main aspect is the study of motivation; while most young people enjoy some mathematical practices, at the age of seven to ten many people lose interest and begin to experience mathematical anxiety. Constructivism and other learning theories consider the way children learn mathematics, considering the child's developmental psychology.
Both practitioners and researchers focus on children's memory, mnemonic devices, and computer-assisted techniques such as space repetition. There is ongoing discussion of the relationship between memory, procedural fluency with algorithms, and basic mathematical conceptual understanding. Sharing of songs, rhymes, visuals, and other mnemonics is very popular on teacher social networks.
The understanding that young people benefit from direct learning more than a century ago, returns to the work of Maria Montessori. However, there is a modern development of the theme. Traditional manipulatives are now available on computers as virtual manipulatives, with many bidding options not available in the physical world, such as zoom or geometric shapes. Mathematical material, such as the study of numerical cognition or movement in learning, is a growing research topic in mathematics education.
Accommodating each student
Modern tools such as computer-based expert systems allow for higher individualization of learning. Students do math work at their own pace, provide each student's learning styles, and scale the same activities for different levels. Special education and gifted education in particular require level and style accommodation, such as using different presentation options and responses. Changing some aspects of the environment, such as giving hearing-learning headphones with quiet music, can help children concentrate on math tasks.
Modern learning materials, both computer and physical, accommodate learners through the use of multiple representations, such as graphics, images, words, animations, symbols and sounds. For example, recent research shows that sign language is not just a means of speaking for deaf people, but also a visual approach to communication and learning, attracting many other students and especially helping with math.
Another aspect of individual education is child-led learning, called unschooling when it covers most of the child's experience. Child-led learning means combining mathematically rich projects that come from personal interests and interests. Educators who support child-led learning need to provide tasks that are open to interpretation, and ready to improvise, rather than preparing for previous lessons. This modern approach often involves seizing opportunities for discovery, and learning as the child's curiosity demands. The departure from conventional structured learning allows children to explore their desires and curiosities. Child-led learning touches into the intrinsic love of the child to learn.
Problem solving can be a very individualized activity, with students working their own way and also sharing insights and results in groups. There are many means for one purpose, emphasizing the importance of a creative approach. Promoting discourse and focusing on language is an important concept to help every student participate in meaningful problem solving.
The data-based assessment and comparison of learning methods, and the way children learn, is another great aspect of modern basic mathematics.
Maps Modern elementary mathematics
Use of emerging technologies
Computing technology
Modern computing technology changes basic math in several ways. Technology reduces the amount of attention, memory, and computing required by users, making higher mathematical topics accessible to children. However, the main opportunity technology does not make traditional math tasks more accessible, but in introducing children to new activities that are impossible without a computer.
For example, computer modeling allows children to change parameters in virtual systems created by educators and observe emerging mathematical behaviors, or remix and create their own models. The constructive pedagogical approach illustrates how creating algorithms, programs and models on computers pushes deep mathematical thinking. Technology allows children to experience these complex concepts in a more visual way.
Computer algebra systems are software environments that support and scaffold work with symbolic expressions. Some computer algebra systems have a child-friendly intuitive interface and can therefore be used in Early Algebra. The interactive geometry software supports the creation and manipulation of geometric constructions. Both computer algebra systems and interactive geometry software help with some of the cognitive limitations of young children, such as attention and memory. The software tidies up the step-by-step procedure, helping children focus their attention. It has an "undo" ability, lowers frustration when errors occur, and promotes creativity and exploration. Also, such software supports metacognition by making all steps in the problem or construction visible and editable, so that children can reflect on individual steps or the entire journey.
Social media
Online communities and forums enable educators, researchers and students to share, discuss, and reflect on the basic mathematical content they discover or create. Sometimes, traditional media such as text, images and movies are digitized and turned into online social objects, such as open textbooks. Other times, web-native mathematical objects are created, remixed and shared in integrated writing and discussion environments, such as applets made with Scratch or Geogebra construction.
Rich media, including video, virtual manipulation, interactive models, and mobile apps are features of online math communication characteristics. Some of the global collaboration projects between teachers or groups of students with teachers use the web mostly for communication, but others happen in virtual worlds, such as Whyville.
Professional development for basic math educators using social media in the form of online courses, discussion forums, webinars, and web conferences. It supports teachers in establishing PLN (Personal Learning Network). Some communities include students and teachers, such as Art Troubleshooting.
Teaching math in context
Game and play
Learning through play is not new, but the themes of computer and mobile games are relatively more modern. Most teachers now use games in the basic classroom, and most children in the developed world play home study games. Computer games with intrinsic mathematical game mechanics can help children learn new topics. More extrinsic and gamification game mechanics can be used for time and task management, fluency, and memorization. Sometimes it is not clear what the mathematicians learned by "just playing," but the basic spatial and numerical skills gained in free play help with mathematical concepts.
Some abstract games like chess can be useful learning math by developing system thinking, logic, and reasoning. Role game games invite children to be characters that use math in everyday life or epic adventures, and often use math stories. Sandboxes, also called open-world games, such as Minecraft help children explore patterns, improvise, are artistically mathematical, and develop their own algorithms. Board games can have all of the above aspects, and also promote communication about math in small groups.
Teachers working with disadvantaged children noted primarily the advantages of great math skills after using the games in the classroom, probably because the kids did not play such games at home.
Many teachers, parents, and students design their own games or create an existing game version. Designing a game that is mathematically rich is one of the main tasks in constructionism.
There are concerns that children who use computer games and technology in general may be more stressed when exposed to pen and paper tests.
Family math and daily math
While learning math in everyday life, such as cooking and shopping, can not be considered modern, social media provides a new twist. The online network helps parents and teachers share tips on how to integrate daily routines and more formal math learning for children. For example, the blog "Let's play math" organizes carnivals to share family math ideas, such as using egg cartoons for fast math games.
Schoolwork may involve families collecting data and combining them online for math exploration. Entertainment like geocaching involves sharing family-rich, mathematical sports activities that rely on GPS systems or mobile devices. Museums, clubs, shops and other public places provide mixed learning opportunities, by visiting families visiting science and mathematical activities related to places on their mobile devices.
In recent decades, many mathematicians and mathematicians have embraced the art of mathematics, from popular fractal art to origami. Likewise, basic mathematics becomes more artistic. Some popular topics for children include tessellation, computer art, symmetry, patterns, transformation and reflection. Discipline etnomathematics studies the relationship between mathematics and culture, including arts and crafts. Some direct activities, such as making tiles, can help children and adults see the art of mathematics around them.
The project-based learning approach helps students explore mathematics along with other disciplines. For example, children's robotics projects and competitions include mathematical tasks.
Some basic mathematical topics, such as measurement, apply to assignments in many professions and subject areas. Unit studies centered on such concepts in contrast to project-based learning, where students use many concepts to achieve project objectives.
References
Source of the article : Wikipedia
0 Comments