The Development of Mathematical Proficiency

Presentation Transcript

The Development of Mathematical Proficiency Presented by the Math Coaches of LAUSD, District K Based on: Adding It Up: Helping Children Learn Mathematics , National Research Council, National Academy Press, Washington D.C., 2001

Adding It Up: Helping Children Learn Mathematics The examination confirmation is reliable and convincing demonstrating the accompanying shortcomings: US understudies have restricted essential comprehension of numerical ideas They are prominently insufficient in their capacity to take care of even basic issues And, in general, are not given instructive open door they have to accomplish at abnormal states to put it plainly, the creators reveal to us that US instructors concentrate fundamentally on one zone, calculation.

Mathematical Proficiency Conceptual Understanding Strategic Competence Procedural Fluency Adaptive Reasoning Productive Disposition Let's give kids something they can clutch!

Conceptual Understanding "When information is found out with comprehension it gives a premise to producing new learning." It is cognizance of ideas, operations and connections It helps understudies maintain a strategic distance from basic mistakes in critical thinking It is having the capacity to speak to numerical circumstances in various ways

What do these say in regards to the understudy's Conceptual Understanding? 16 - 8 12 1/3 + 2/5 = 3/8 9.83 x 7.65 = 7,519.95

Discussion Questions What is Conceptual Understanding? How would we instruct for Conceptual Understanding? What does it look like when understudies have Conceptual Understanding?

Procedural Fluency Skill in completing numerical strides and calculations Understanding ideas makes learning aptitudes less demanding, less defenseless to regular blunders, and less inclined to overlooking Using strategies can fortify and create understanding

Does Practice Make Perfect? Understanding ideas reviews systems accurately Mastering ideas cultivates the capacity to pick proper math instruments and procedures

How Do You Know They Got It? What are some fruitful methodologies you use to create procedural familiarity? How are procedural familiarity and calculated comprehension related?

How might you take care of this issue? A cycle shop has an aggregate of 36 bikes and tricycles in stock. All in all there are 80 wheels. What number of bikes and what number of tricycles are there?* * Adding It Up, National Research Council, 2001, p.126

Questions to Consider What is the issue? What do you have to know to take care of this issue? Portray more than one approach to tackle this issue?

Strategic Competence The capacity to detail, speak to and take care of scientific issues. Plan issues Multiple procedures Flexibility Nonroutine issues versus routine issues Allow nonroutine issues to be the vehicle to construct Strategic Competence.

Adaptive Reasoning "… the magic that binds everything." Adaptive Reasoning is the limit with respect to: Logical thought Reflection Explanation Justification

Conditions Needed Real-world, spurring assignments Utilizes the information base and experience that youngsters convey to class Rigorous addressing Students legitimize their work all the time

Questions How would you advance versatile thinking in your classroom? What is the confirmation that your understudies are frequently utilizing versatile thinking? What are the long haul advantages of students using versatile thinking?

Productive Disposition Mathematics bodes well Mathematics is helpful and beneficial Steady exertion Effective learners and practitioners

Key Points Emotional improvement Self-viability and mental self view Stereotype danger Peer weight to under-accomplish "Insightful instructive conditions" Affective channel - math as a "moment" dialect

Application How do instructors' sentiments/observations toward math influence gainful demeanor? By what method can SDAIE showing procedures increment gainful air in math?

Mathematical Proficiency Conceptual Understanding Comprehension of scientific ideas Strategic Competence Ability to take care of numerical issues Procedural Fluency Knowledge of calculations Adaptive Reasoning Productive Disposition Capacity for intelligent thought, reflection, clarification and defense Views science as sensible, helpful, & advantageous, combined with a conviction of capacity

Bringing It All Together How do the five strands of numerical capability identify with models based direction? In what capacity will you join numerical proficiency into every day teaching hone?

In Conclusion The objective of guideline ought to be scientific capability It requires investment for numerical capability to be completely created Mathematical capability traverses number sense, algebra & capacities, estimation & geometry, SDAP, and mathematical thinking "Every single youthful American must learn to think scientifically and must think scientifically to learn."