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¼öÇб³À°ÀÇ »õ·Î¿î ÆÐ·¯´ÙÀÓ, Mathematics in Context

°ø½ÄÀ» ¿Ü¿ì°í, ¹®Á¦¸¦ Ç®°í, º¹ÀâÇÑ °è»êÀ» ÇÏ´Â °Í. Áö±Ý±îÁö '¼öÇÐ' ÇÏ¸é ¶°¿À¸£´Â °ÍµéÀ̾ú½À´Ï´Ù.
´õ ÀÌ»ó ¾ÆÀ̵鿡°Ô Àç¹Ì¾ø´Â ¼öÇÐÀ» °¡¸£Ä¡Áö ¸¶½Ê½Ã¿À.

Mathematics in Context´Â ½Ç»ýȰ¿¡¼­ Á¢ÇÒ ¼ö ÀÖ´Â »ç¹°°ú »óȲ ¼Ó¿¡¼­ ÀÚ¿¬½º·´°Ô ¼öÇÐÀÇ ÁÖ¿ä °³³äµéÀ» Å͵æÇØ ³ª°¡°Ô ÇØ ÁÖ´Â ½Å°³³äÀÇ ¼öÇÐ ±³À° ÇÁ·Î±×·¥ÀÔ´Ï´Ù.

Mathematics in Context´Â ¹Ì±¹±¹¸³°úÇÐÀç´Ü(National Science Foundation/NSF)ÀÇ ÈÄ¿øÇÏ¿¡ ¹Ì±¹ ¸Åµð½¼ À§½ºÄܽŴëÇб³ÀÇ ±³À° ¿¬±¸ ¼¾ÅÍ¿Í ³×´ú¶õµå À§Æ®·¹È寮´ëÇб³ÀÇ ÇÁ·Úµ§Å» ¿¬±¸¼Ò°¡ Çù·ÂÇÏ¿© °³¹ßÇϰí, ¹Ì±¹ÀÇ ¿©·¯ Áö¿ª¿¡¼­ Å×½ºÆ®¸¦ ÅëÇØ °ËÁõµÈ »õ·Î¿î ÆÐ·¯´ÙÀÓÀÇ ¾Æµ¿¿ë ¼öÇÐ ±³À° ÇÁ·Î±×·¥ÀÔ´Ï´Ù.

Mathematics in Context´Â Àü¹Ì¼öÇб³»çÆòÀÇȸ(National Council of Teachers of Mathematics)°¡ ¸¶·ÃÇÑ 'Çб³ ¼öÇÐÀ» À§ÇÑ ±³À°°úÁ¤ ¹× Æò°¡ Ç¥ÁØ'¿¡ ¸Â°Ô ±¸¼ºµÇ¾î ÀÖÀ¸¸ç, ¹Ì±¹ÀÇ 5Çг⿡¼­ 8Çгâ(¿ì¸®³ª¶óÀÇ °æ¿ì ÃʵîÇб³ 5Çг⿡¼­ ÁßÇб³ 2Çгâ)±îÁöÀÇ ÇлýµéÀ» À§ÇÑ ÇÁ·Î±×·¥ÀÔ´Ï´Ù.


¡¼The Philosophy of Mathematics in Context¡½

The real-world contexts support and motivate learning
¼öÇÐÀº ÇлýµéÀÌ ¼¼°è¸¦ ÀÌÇØÇÒ ¼ö ÀÖ°Ô ÇØ ÁÖ´Â µµ±¸ÀÌ´Ù. ¼öÇÐÀº ¿ø·¡ ½Ç»ýȰ¿¡¼­ ³ª¿Â °ÍÀ̱⠶§¹®¿¡ ¼öÇÐÀ» ¹è¿ì´Â °Í ¿ª½Ã ±×·¡¾ß¸¸ ÇÑ´Ù. µû¶ó¼­ Mathematics in Context´Â ½Ç»ýȰ¿¡¼­ Á¢ÇÏ´Â »óȲÀ» ÇнÀÀÇ Ãâ¹ßÁ¡À¸·Î »ï´Â´Ù. ±×·³À¸·Î½á ÇлýµéÀÌ ¼öÇÐÀ» ¾î¶»°Ô ½ÇÁ¦ »óȲ¿¡ ÀÀ¿ëÇÒ ¼ö ÀÖ´ÂÁö ´Ù¾çÇÑ ¹æ¹ýÀ¸·Î º¸¿© ÁØ´Ù.

Models help students learn mathematics at different levels of abstraction
Mathematics in Context¿¡ Æ÷ÇԵǾî ÀÖ´Â ´Ù¾çÇÑ ¸ðµ¨µéÀº °¢°¢ÀÇ Ãß»óÈ­ ´Ü°è¿¡ ¸Â°Ô ¹®Á¦¸¦ Ç® ¼ö ÀÖµµ·Ï ÇØ ÁØ´Ù. ¿¬·ÉÀÌ ³·Àº ÇлýµéÀº Ãß»óÀûÀÎ »ç°í¿¡ Àͼ÷ÇÏÁö ¸øÇÏ´Ù. ±×·¯³ª ¼ýÀÚ¿Í ±âÈ£·Î ÀÌ·ç¾îÁø ¼öÇÐÀº Ãß»óÀûÀÎ ¼¼°èÀÌ´Ù. ÇлýµéÀº °¢°¢ ¿¬·É°ú ´É·Â¿¡ µû¶ó ÀûÇÕÇÑ Ãß»óÈ­ ´Ü°èÀÇ ¸ðµ¨À» ¼±ÅÃÇÒ ¼ö ÀÖ´Ù. Mathematics in Context°¡ Á¦°øÇÏ´Â ´Ù¾çÇÑ ¸ðµ¨µéÀº ½Ç»ýȰÀÇ ¹®Á¦¶ó´Â ±¸Ã¼ÀûÀÎ ¼¼°è¿Í ¼öÇÐÀû Áö½ÄÀ̶ó´Â Ãß»óÀûÀÎ ¼¼°è »çÀ̸¦ ¸Å°³ÇØ ÁÖ¾î, ÀÚ¿¬½º·´°Ô ÇлýµéÀÇ Ãß»óÀû »ç°í·ÂÀ» Çâ»ó½ÃŲ´Ù.

Students reinvent significant mathematics
ÇлýµéÀº ¾Ë°í¸®µëÀ̳ª ±ÔÄ¢À» ¾Ï±âÇÏ´Â °ÍÀÌ ¾Æ´Ï¶ó, ½º½º·Î ¼öÇÐÀ» ¹ß°ßÇÑ´Ù. ±×µéÀº ½º½º·ÎÀÇ Áö½Ä°ú °æÇèÀ» Åä´ë·Î ¼öÇÐÀ» ÀÌÇØÇϰí ÀÌ¿ëÇÑ´Ù. À̶§ ±³»çÀÇ ¿ªÇÒÀº Áö½ÄÀ» Àü´ÞÇÏ´Â °ÍÀÌ ¾Æ´Ï¶ó, ÇлýµéÀÌ ½º½º·Î ±úÄ£ °ÍÀ» ¿¬°áÇϰí Á¾ÇÕÇϵµ·Ï µµ¿Í ÁÖ´Â °ÍÀÌ´Ù.

Interaction is essential for learning mathematics
±³»ç¿Í Çлý, Çлý°ú Çлý, ±³»ç¿Í ±³»ç °£ÀÇ »óÈ£ÀÛ¿ëÀº ¼öÇÐÀû Áö½ÄÀ» ½×¾Æ°¡´Â µ¥ ÇÙ½ÉÀûÀÎ ºÎºÐÀÌ´Ù. Mathematics in Context¿¡¼­ Á¦½ÃµÈ ¹®Á¦µéÀº ÇØ´äÀ» ã±â ÀüÀ̳ª ÈÄ, ¶Ç´Â ¹®Á¦¸¦ Ǫ´Â °úÁ¤¿¡¼­ ÇлýµéÀÌ ¼­·ÎÀÇ »ý°¢À» ³ª´©°í °øÀ¯ÇÒ ¼ö ÀÖµµ·Ï ÇØ ÁÖ´Â ÀÚ¿¬½º·± ¹æ¹ýÀ» Á¦°øÇÑ´Ù.

Students should not move quickly to the abstract
Mathematics in Context¿¡¼­ ÇлýµéÀº ÀÌÇØÇϱ⠾î·Á¿î Çü½ÄÀûÀÎ °úÁ¤º¸´Ù´Â ÀÌÇØÇϱ⠽¬¿î ½Ç¿ëÀûÀÎ ÇØ¹ýÀ» »ç¿ëÇÏ°Ô µÈ´Ù. ¹«¾ùº¸´Ùµµ ÇлýµéÀÌ °¡´ÉÇÑ ÇÑ ±¸Ã¼ÀûÀÎ ¼öÇаú ÇÔ²² ³î¸é¼­ ޱ¸Çϵµ·Ï ÇÏ´Â °ÍÀÌ Á߽õȴÙ. óÀ½ ¸î ´Ü°èÀÇ ±³ÀçµéÀº Çлýµé¿¡°Ô ¹®Á¦ ÇØ°áÀ» À§ÇÑ ±¸Ã¼ÀûÀÎ ¹æ¹ýÀ» Á¦°øÇØ ÁØ´Ù. ÀÌ ´Ü°è¸¦ °ÅÄ£ ÈÄ¿¡ Á»´õ Ãß»óÀûÀÎ Àü·«µé·Î Á¢±ÙÇÒ ¼ö ÀÖ´Â ±âȸ¸¦ Á¦°øÇÑ´Ù.

The mathematics is often new and different
Mathematics in Context¿¡ ³ª¿À´Â ¸¹Àº ¼öÇÐÀû °³³ä°ú ¸ðµ¨µéÀº Çлý°ú ±³»ç ¸ðµÎ¿¡°Ô »ý¼ÒÇÒ ¼ö ÀÖ´Ù. ÀÌ °³³äµéÀ» ÀÌÇØÇϰí, ¶Ç ±×°ÍµéÀÌ ¾î¶»°Ô Á¦½ÃµÇ¾î¾ß ÇÏ´ÂÁö¸¦ ¾Ë±â À§Çؼ­ ±³»ç´Â Çлýµé°ú ¸¶Âù°¡Áö·Î ¸¹Àº °øºÎ¸¦ ÇØ¾ß ÇÑ´Ù. ¼öÇп¡ ¸ôÀÔÇØ ´Ù¸¥ ±³»çµé°ú °øµ¿À¸·Î ÀÛ¾÷Çϱ⵵ Çϰí, ¼öÇп¡ ´ëÇÑ ±âÁ¸ÀÇ ÀÌÇØ¸¦ Àç°íÇØ º¸±âµµ ÇØ¾ß ÇÑ´Ù. ÀÌ¿Í °°ÀÌ ±³»çµéµµ Çлýµéó·³ ¼öÇÐÀû °³³äÀ» ¹è¿ì´Â °úÁ¤À» »õ·Î °ÅÄ¡°Ô µÈ´Ù. ÀÌ·¯ÇÑ Àû±ØÀûÀΠȰµ¿À» ÅëÇØ ±³»çµéÀº ÇлýµéÀÌ ¾î¶² ¾î·Á¿òÀ» °®°Ô µÇ´ÂÁö¸¦ ÀÌÇØÇÒ ¼ö ÀÖ°Ô µÉ °ÍÀÌ´Ù.


¡¼´Ü°èº° ±³°ú ¾È³»¡½

The Materials of Mathematics in Context
A full year's curriculum consists of 10 units. Units are available for four grade levels, making a total of 40 units. Each unit contains concepts from one or more of the four strands: Number, Algebra, Geometry, and Statistics.

GRADE NUMBER
fractions, percents,
decimals, and ratios
ALGEBRA
Algebra, integers,
and patterns

GEOMETRY
Geometry
and measurement

STATISTICS
Statistics and probability


5



Some of the Parts
Measure for Measure
Per Sense
Grasping Sizes
Patterns and Symbols
Dry and Wet Numbers


Side Seeing
Figuring All the Angles


Picturing Numbers
Take a Chance

6




Fraction Times
More or Less
Ratios and Rates


Expressions and Formulas
Tracking Graphs
Comparing Quantities
Operations
Reallotment
Made to Measure



Dealing with Data



7



Cereal Numbers
Powers of Ten


Ups and Downs
Building Formulas
Decision Making

Packages and Polygons
Triangles and Beyond
Looking at an Angle
Ways to Go
Statistics and the Environment
8



Reflections on Number


Graphing Equations
Get the Most Out of It
Patterns and Figures
Growth
Triangles and Patchwork
Going the Distance

Insights Into Data
Digging Numbers
Great Expectations



¡¼Mathematics in ContextÀÇ ±¸¼º¡½

Component Quantity for each
grade level
Quantity in
4-year program
Student Books 10 40
Teacher Guides 10 40
Teacher Resource and Implementation Guide 1 1
Number Tools (supplement) 1 2
News in Numbers (supplement) 1 1
¡Ø Mathematics in Context´Â ¿µ¹® ±³ÀçÀÔ´Ï´Ù.

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