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Embodied Design
Embodied design grows from the idea of embodied cognition: that the actions of the body can play a role in the development of thought and ideas.Sam McNerney "Embodied Cognition and Design: A New Approach and Vocabulary" (2013)Dor Abrahamson, and Robb Lindgren "Embodiment and Embodied Design." Accessed May 7, 2014. http://ccl.northwestern.edu/papers/2014/AbrahamsonLindgren-embodiment-and-embodied-design-in-press_.pdf (In Press) Embodied design brings mathematics to life; studying the effects of the body on the mind, researchers learn how to design objects and activities for learning.Martha W. Alibali & Mitchell J. Nathan "Embodiment in Mathematics Teaching and Learning: Evidence From Learners' and Teachers' Gestures (2011) Embodiment is an aspect of pattern recognition in all fields of human endeavor. Embodied design has an increasing role in mathematics education. Designers can use embodied cognition as a tool to study human behavior and create user-centered designs. Embodied design ...
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Paris 2010 - Le Penseur
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ...
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Embodied Cognition
Embodied cognition represents a diverse group of theories which investigate how cognition is shaped by the bodily state and capacities of the organism. These embodied factors include the motor system, the perceptual system, bodily interactions with the environment (situatedness), and the assumptions about the world that shape the functional structure of the brain and body of the organism. Embodied cognition suggests that these elements are essential to a wide spectrum of cognitive functions, such as perception biases, memory recall, comprehension and high-level mental constructs (such as meaning attribution and Categorization, categories) and performance on various cognitive tasks (reasoning or judgment). The embodied mind thesis challenges other theories, such as Cognitivism (psychology), cognitivism, computationalism, and Dualism (philosophy of mind), Cartesian dualism. It is closely related to the extended mind thesis, situated cognition, and enactivism. The modern version dep ...
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Pattern Recognition
Pattern recognition is the task of assigning a class to an observation based on patterns extracted from data. While similar, pattern recognition (PR) is not to be confused with pattern machines (PM) which may possess PR capabilities but their primary function is to distinguish and create emergent patterns. PR has applications in statistical data analysis, signal processing, image analysis, information retrieval, bioinformatics, data compression, computer graphics and machine learning. Pattern recognition has its origins in statistics and engineering; some modern approaches to pattern recognition include the use of machine learning, due to the increased availability of big data and a new abundance of processing power. Pattern recognition systems are commonly trained from labeled "training" data. When no labeled data are available, other algorithms can be used to discover previously unknown patterns. KDD and data mining have a larger focus on unsupervised methods and str ...
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User-centered Design
User-centered design (UCD) or user-driven development (UDD) is a framework of processes in which usability goals, user characteristics, environment, tasks and workflow of a product, service or brand are given extensive attention at each stage of the design process. This attention includes testing which is conducted during each stage of design and development from the envisioned requirements, through pre-production models to post production. Testing is beneficial as it is often difficult for the designers of a product to understand the experiences of first-time users and each user's learning curve. UCD is based on the understanding of a user, their demands, priorities and experiences, and can lead to increased product usefulness and usability. UCD applies cognitive science principles to create intuitive, efficient products by understanding users' mental processes, behaviors, and needs. UCD differs from other product design philosophies in that it tries to optimize the produ ...
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Proportionality (mathematics)
In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio. The ratio is called ''coefficient of proportionality'' (or ''proportionality constant'') and its reciprocal is known as ''constant of normalization'' (or ''normalizing constant''). Two sequences are inversely proportional if corresponding elements have a constant product. Two functions f(x) and g(x) are ''proportional'' if their ratio \frac is a constant function. If several pairs of variables share the same direct proportionality constant, the equation expressing the equality of these ratios is called a proportion, e.g., (for details see Ratio). Proportionality is closely related to ''linearity''. Direct proportionality Given an independent variable ''x'' and a dependent variable ''y'', ''y'' is directly proportional to ''x'' if there is a positive constant ''k'' such that: : y = kx The relation is oft ...
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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 and diversified 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, base ten blocks (also known as Dienes or multibase blocks), interlocking linking cubes (such as Unifix), construction sets (such as Polydron and Zometo ...
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Modern Elementary Mathematics
Modern elementary mathematics is the theory and practice of teaching elementary mathematics according to contemporary research and thinking about learning. This can include pedagogical ideas, mathematics education research frameworks, and curricular material. In practicing modern elementary mathematics, teachers may use new and emerging media and technologies like social media and video games, as well as applying new teaching techniques based on the individualization of learning, in-depth study of the psychology of mathematics education, and integrating mathematics with science, technology, engineering and the arts. General practice Areas of mathematics Making all areas of mathematics accessible to young children is a key goal of modern elementary mathematics. Author and academic Liping Ma calls for "profound understanding of fundamental mathematics" by elementary teachers and parents of learners, as well as learners themselves. * Algebra: Early algebra covers the approach ...
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Cognitive Load Theory
In cognitive psychology, cognitive load is the effort being used in the working memory. According to work conducted in the field of instructional design and pedagogy, broadly, there are three types of cognitive load: * ''Intrinsic'' cognitive load is the effort associated with a specific topic. * ''Germane cognitive load refers to the work put into creating a permanent store of knowledge (a schema).'' * ''Extraneous'' cognitive load refers to the way information or tasks are presented to a learner. However, over the years, the additivity of these types of cognitive load has been investigated and questioned. Now it is believed that they circularly influence each other. Cognitive load theory was developed in the late 1980s out of a study of problem solving by John Sweller. Sweller argued that instructional design can be used to reduce cognitive load in learners. Much later, other researchers developed a way to measure perceived mental effort which is indicative of cognitive load. ...
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Problem Solving
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. Another classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for. Similarly, one may distinguish formal or fact-based problems requiring G factor (psychometrics), psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as Emotional intelligence, tactful behavior, fashion, or gift choices. Solutions require suff ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use Conditional (computer programming), conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning). In contrast, a Heuristic (computer science), heuristic is an approach to solving problems without well-defined correct or optimal results.David A. Grossman, Ophir Frieder, ''Information Retrieval: Algorithms and Heuristics'', 2nd edition, 2004, For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an e ...
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PlayStation Move
is a Motion controller, motion game controller developed by Sony Interactive Entertainment. Initially released in 2010 for use with the PlayStation 3 home video game console, its compatibility was later expanded to its successor, the PlayStation 4 in 2013, its PlayStation VR platform in 2016 and the PlayStation 5 in 2020 (2nd generation CECH-ZCM2 with microUSB is not Backward compatibility, backwards-compatible with PS3). Conceptually similar to Nintendo's Wii Remote and Microsoft's Kinect, its function is based around controller input in games stemming from the actual physical movement of the player. The Move uses inertial sensors in the wand to detect motion while the wand's position is tracked using a PlayStation Eye or PlayStation Camera. The device was generally well received by critics, but has not quite met Sony's goals for integration into the market. Hardware As with the standard PlayStation 3 wireless controllers (Sixaxis, DualShock 3), both the main PlayStation Move ...
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