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Effective Numeracy Instruction for Out-of-School Youth

 
Youthwork Information Brief No. 32
 
 

Cheryl R. Sturko Grossman and Michael E. Wonacott

 
     
 
     

Individuals age 16 and older with low numeracy skills

 
  • Are less likely to be in the labor force
  • Are less likely to be employed full time
  • Are less likely to work in professional and related occupations, and management, business, and financial occupations
  • Earn lower wages or salaries
  • Are less like to receive job training
  • Are less likely to complete a postsecondary certificate or degree
  • Are more likely to receive public assistance
  • Receive public assistance for a longer period
 
 

What is Numeracy?

 
 

Numeracy is the use of math to perform tasks such as

 
 
  • Identifying the math information and relationships needed to solve a problem
  • Performing the necessary math operations to solve the problem
  • Reviewing and interpreting results, including reflecting on the math used
  • Communicating results using appropriate language, symbols, and notation such as
    • Language: I multiplied the height of the wall by the length to get the area so I’d know how much paint to buy.
    • Symbols: So, 8 x 8 = 64 square feet.
    • Notation: Or, since both the height and the length are 8 feet, I can say 82 = 64 square feet.
 
 

Numeracy skills are used in real-world contexts.

 
 
  • Everyday life: Personal and consumer finance, cooking, family and personal health care, time, travel, home care and repair, and personal interests and hobbies
  • The workplace: Money handling, inventory, measuring, mixing, calibrating instruments, automation, computers, and adapting to new equipment and work requirements
  • Community and citizenship: Understanding graphs, polls, charts, statistics, and numerical information used to describe issues of general concern to society
  • Education: Math skills needed to pursue further learning or to understand other subjects
 
 

Principles for Effective Numeracy Instruction

 
 

In kindergarten-12th grade (K-12) classrooms, math is often taught from a textbook or workbook and relies on lots of lecture and repetitive practice emphasizing calculations and procedures. Formal rules, which are often quite abstract, may be learned by rote with little explanation or exploration of real world uses for the math knowledge being studied.

 
 

By definition, however, Workforce Investment Act (WIA) out-of-school youth are not enrolled in secondary education, so they are not receiving math instruction in high school classes. In addition, out-of-school youth often consider themselves adults and have adult responsibilities for work and family. They are more likely to benefit from instruction designed for adults, rather than instruction designed for students in K-12 classrooms.

 
 

In effective numeracy instruction for adults, learning is regarded as an active and social process in which learners develop an understanding of math they can apply to new tasks and situations. That approach to learning is based on these principles.

 
 
  • Learners’ existing math knowledge and practices are respected.
  • The most important outcome is successful learning.
  • Math is enjoyable.
  • Understanding is more than rote memorization; when learners understand math, they select and use math procedures and calculations competently to solve problems and perform tasks in real life.
  • The instructor is a learning coach as well as a source of knowledge.
 
 

Practices for Effective Numeracy Instruction

 
 

Those principles are reflected in effective instructional practices like

 
 
  • Drawing on learners’ experiences, backgrounds, interests, and needs
  • Using familiar, relevant language when expressing math concepts
  • Placing math in contexts that learners know and understand
  • Encouraging learners to work together to solve problems and learn from each other
  • Using practical, hands-on materials
  • Using real problems from daily adult life as examples
  • Addressing math anxiety
  • Providing computerized, individualized instruction accompanied by teacher assistance
 
     
 
Other Features of Effective Numeracy Instruction
 
 

Effective numeracy instruction typically has other features that meet the needs of WIA out-of-school youth.

 
 
  • Strict rules and expectations for behavior
  • Enforcement of rules and expectations
  • Small classes
  • Links with community colleges to facilitate transitions to higher education
  • Partnerships with employers to provide exposure to the needs and expectations of business
  • Full-time teachers who are given opportunities for regular professional development
  • On-site personal and career counseling
  • Concurrent occupational skill training
  • Health care services on site and referrals when necessary
  • Pre-employment training, especially using computers
  • Use of assessment to place youth in classes at an appropriate level
 
 

In addition, many adult numeracy programs specifically address the needs of WIA out-of-school youth in a variety of ways.

 
 
  • Adult learners can act as mentors for out-of-school youth to help youth stay focused and motivated.
  • Adult learners can act as peer tutors for youth.
  • If youth and adult learners have different learning needs, separate classes can be provided for out-of-school youth.
  • On-site case managers address absenteeism and coordinate services to youth.
  • Teachers have experience in working with youth with specific barriers, such as youth offenders or youth with learning disabilities.
 
 

Who Provides Numeracy Instruction?

 
 

Numeracy instruction might be provided as tutoring or in basic skills improvement or General Educational Development (GED) classes by

 
 
  • WIA youth services providers
  • Adult Basic Education (ABE) and Adult Basic and Literacy Education (ABLE) partner programs
  • Community partners
 
 

In addition, community colleges provide remedial or developmental math classes for their students who are basic skills deficient.

 
 

Numeracy and WIA Youth Programs

 
 

Local WIA youth programs are designed to help youth make a successful transition to further education and employment in occupations that lead to self-sufficiency. To make that transition, youth need math skills. Local programs work conscientiously to help youth gain the math skills they need.

 
 

Under Common Measures, local areas are accountable for the Literacy and Numeracy Gains of out-of-school youth who are basic skills deficient. Out-of-school youth include all youth participants except youth enrolled in secondary school and youth enrolled in postsecondary education who are not basic skills deficient (TEGL 17-05).

 
 

A youth is basic skills deficient if he or she has English reading, writing, or computing skills at or below grade level 8.9 on a generally accepted standardized test or a comparable score on a criterion referenced test (WIA §101(4); Workforce411, Workforce Development Glossary).

 
 

What Should WIA Youth Programs Do?

 
 

Local youth councils or administrative entities should

 
 
  • Issue requests for proposals and contracts that require service providers to demonstrate principles, practices, and other features of effective numeracy instruction
  • Monitor performance of service providers under current contracts to ensure appropriate outcomes from numeracy instruction
  • Facilitate communication and coordination among case managers, WIA service providers, partners, and community partners to ensure effective numeracy instruction
 
 

Case managers should

 
 
  • Play a lead role in communication and coordination of numeracy instruction with other WIA youth services, partner programs, and community partner programs
  • Reinforce the relevance of math skills to youth receiving numeracy instruction by providing
    • Career awareness
    • Career exploration
    • Career counseling
    • Mentoring
    • Prepare youth for basic skills improvement or GED classes with tutoring if necessary
    • Plan and provide supportive services as necessary to enable youth to participate in numeracy instruction
    • Monitor the attendance and progress of youth of youth participants receiving numeracy instruction to identify problems as they occur
    • Help youth solve problems they are experiencing
 
 

 

 
Sources
 
 
  • Curry, D., Schmitt, M.J., & Waldron, S. (1996, July). A framework for adult numeracy standards: The mathematical skills and abilities adults need to be equipped for the future. Boston, MA: Adult Numeracy Practitioners Network. Retrieved January 15, 2008, from http://www.literacynet.org/ann/framework.html

  • Employment and Training Administration, U.S. Department of Labor. (2006, February 17). Common Measures for the Employment and Training Administration’s (ETA) performance accountability system and related performance issues. Training and Employment Guidance Letter 17-05. Washington, DC: Author. Retrieved February 24, 2008, from http://wdr.doleta.gov/directives/attach/TEGL17-05.pdf

  • Flugman, B, Perin, D., & Spiegel, S. (2003, October). An exploratory case study of 16-20 year old students in adult education programs. New York, NY: Center for Advanced Study in Education, The Graduate Center of the City University of New York. Retrieved March 11, 2008, from http://web.gc.cuny.edu/dept/case/adult_ed/Exec_Summary_TimesRoman.pdf

  • General Educational Development Testing Service. (2007, November). 2006 GED testing program statistical report. Washington, DC: Author. Retrieved January 16, 2008, from http://www.acenet.edu/bookstore/pdf/GEDASR06.pdf

  • Garner, B. (Ed.). (2004, June). Youth in ABE. Volume 7, Issue A in Focus on Basics: Connecting Research and Practice. Boston, MA: National Center for the Study of Adult Learning and Literacy. Retrieved January 6, 2008, from http://www.ncsall.net/index.php?id=136

  • Ginsburg. L, Manly, M., & Schmitt, M. J. (2006, December). The components of numeracy. Cambridge, MA: National Center for the Study of Adult Learning and Literacy, Harvard Graduate School of Education. Retrieved January 6, 2008, from http://www.ncsall.net/fileadmin/resources/research/op_numeracy.pdf

  • Hagedorn, L. (2003). Frameworks for adult numeracy education: A survey and discussion. Ottawa, ON, Canada: Literacy and Basic Skills Program of the Ottawa-Carleton District School Board. Retrieved January 11, 2008, from http://www.nald.ca/fulltext/framewrk/framewrk.pdf

  • Hayes, E. (1999). Youth in adult literacy education programs. Chapter 3 in J. Comings, B. Garner, & C. Smith, Eds., Annual review of adult learning and literacy, Volume 1. San Francisco, CA: Jossey-Bass. Retrieved January 10, 2008, from http://www.ncsall.net/?id=524

  • Kutner, K., Greenberg, E., Jin, Y., Boyle, B., Hsu, Y., & Dunleavy, E. (2007, April). Literacy in everyday life: Results from the 2003 National Assessment of Adult Literacy. Washington, DC: National Center for Education Statistics. Retrieved March 27, 2008, from http://nces.ed.gov/pubsearch/pubsinfo.asp?pubid=2007480

  • Nonesuch, K. (2006, December). More complicated than it seems: A review of literature about adult numeracy instruction. Duncan, BC: Cowichan Campus, Malaspina University-College. Retrieved January 7, 2008, from http://www.nald.ca/library/research/morecomp/morecomp.pdf

  • Perin, D., Flugman, B., & Spiegel, S. (2006, Fall). Last chance gulch: youth participation in urban adult basic education programs. Adult Basic Education, 16(3), 171-188.

 
  • Rachal, J.R., & Bingham, M.J. (2004, Spring). The adolescentizing of the GED. Adult Basic Education, 14(1), 32-44.

 
  • Schmitt, M.J. (2006, September 14). The importance of insuring access to quality mathematics education for students at risk of leaving school and adults and young adults who have left the K-12 system. Memo to the National Mathematics Advisory Panel. Reston, VA: Adult Numeracy Network. Retrieved January 16, 2008, from
    http://www.ed.gov/about/bdscomm/list/mathpanel/3rd-meeting/presentations/schmitt.maryjane.pdf

  • Statistics Canada. (2005). A construct-centered approach to understanding what was measured in the Adult Literacy and Life Skills (ALL) survey. In Learning a living: First results of the adult literacy and life skills survey. Ottawa, ON: Author; Paris, FR: Organisation for Economic Co-operation and Development. Retrieved January 15, 2008, from http://www.statcan.ca/english/freepub/89-603-XIE/2005001/pdf/89-603-XWE-part2.pdf

  • Tout, D., & Schmitt, M. J. (2002). The inclusion of numeracy in adult basic education. Chapter 5 in J. Comings, B. Garner, & C. Smith, Eds., Annual review of adult learning and literacy, Volume 3. San Francisco, CA: Jossey-Bass. Retrieved January 5, 2008 from http://www.ncsall.net/?id=573

  • Wagner, J.O., & Wonacott, M.E. (2007). Basic skills deficient youth. Youthwork Information Brief No. 26. Columbus, OH: LearningWork Connection. Retrieved February 12, 2008, from http://www.learningworkconnection.org/docs/infobriefs/infobrief26-BasicSkillsDeficient.pdf

  • Workforce 411. (n.d.). Workforce development glossary. Columbus, OH: Author. Retrieved March 27, 2008, from http://www.ohioworkforce.org/workforceprof/Glossary.stm#D

     
 

LearningWork Connection is an initiative of the Center for Learning Excellence at The Ohio State University.

 
 
Youthwork Information Briefs are sponsored by Ohio Department of Job and Family Services - ODJFS, Office of Workforce Development, Bureau of Workforce Services.