Професионално образование

Методика и опит

THE CURRICULUM

https://doi.org/10.53656/voc22-212curi

Резюме. It is proposed that respect for agency and choice for the pupils is a priority of education. Three frameworks are presented that can be used to make sense of the curriculum:
– the Entitlement Curriculum;
– the Aims and Objectives Curriculum; and
– the Areas of Learning Curriculum.
It is suggested that only the Subject Strands components of the Areas of Learning Curriculum are used by ministries of education in planning their national curricula.
It is then proposed that ministries of education should delegate responsibility for the curriculum to Curriculum, Assessment and Qualifications Agencies – a nonministerial departments that report directly to Parliament. Curriculum Notation is then introduced as a technique for:
– mapping the introduction of agency and choice in the curriculum as pupils mature; and
– constructing Intervening Performance Indicators.
Literacy and Numeracy are introduced as compulsory elements in the curriculum of older pupils – independent of the subjects that the pupils are studying. Finally, it is proposed that it is the schools’ responsibility to ensure that:
Cross-curricular Skills; and
Thinking Skills and Personal Capabilities
are part of the pupils’ classroom experience.

Ключови думи: curriculum; skills; personal capabilities; assessment; subject

Introduction

“Education should be a means to empower children and adults alike to become active participants in the transformation of their societies. Learning should also focus on the values, attitudes and behaviours which enable individuals to learn to live together in a world characterized by diversity and pluralism”, UNESCO (2017).

“Is the primary purpose of school to benefit the individual or the collective society? The problems in modern pedagogy reflect a largely unrecognized philosophical opposition between the idea that education should build up of the capacity of the individual and the belief that it should train the individual to meet societal goals” Hargadon (2015).

“The only reason why we teach reading, writing, arithmetic, etc., is because they are common languages that enable us to create a better lived experience for humanity” Shapiro (2014).

Is Shapiro saying:

– “we’re going to empower the individual to become smarter, more capable of thinking clearly, and to have the tools of industry, and then they will create their own lived experiences”, or

– “we need citizens with a certain set of skills so that when we tell them what we think they should do, they are able to do it”?

It can only be the former, education cannot really be primarily about community needs. It’s about how individuals become more intellectually capable, and then are able to work together with other people and build the community. The priority of education is respect for the agency and choice of the individual.

Schools need to be basic structures in which freedom operates; freedom for pupils and teachers to innovate and disagree. For a healthy society, pupils and teachers need to be able to think independently and to question predominant ideas. If schools are really preparing pupils to be vibrant actors in a democratic society, there should be many more real opportunities for them to practise that democratic governance and decision-making. Having agency and choice as a pupil is essential not only because every person is inherently and uniquely valuable, but also because democratic systems of governance depend on voluntary participation by thoughtful people (Budgell & Kunchev 2019).

-1001020304050607080901005678910111213141516171819PERCENTAGE OF CHOICE IN THE SUBJECTS THATTHE PUPILS STUDYPUPILS' AGEPUPILS' CHOICE IN THE SUBJECTS THAT THEY STUDY

Figure 1. Pupils’ choice in the subjects they study

In reality, for the pupils, the school is the embodiment of the education system which, in turn, is the embodiment of the state. As the pupils become older, therefore, the whole system must ensure that the curriculum is structured and organized in such a way that the pupils have a choice of subjects and modules that they wish to study. The curriculum must provide sufficient breadth and balance while enabling pupils, as they mature, to exercise increasing choice of the subjects that they wish to study.

Curriculum frameworks

There are a number of frameworks that are used to describe and interpret the curriculum;

for example:

A. The Entitlement Curriculum;

B. The

C. Areas of Learning Curriculum.

A. The Entitlement Curriculum:

– is balanced and broadly based;

– promotes the spiritual, emotional, moral, cultural, intellectual and physical development of pupils at the school and of society;

– prepares pupils for the opportunities, responsibilities and experiences of life by equipping them with appropriate knowledge, understanding and skills; and

– empowers young people to achieve their potential and to make informed and responsible decisions throughout their lives.

B. The Aims and Objectives Curriculum:

– an overarching curriculum aim;

– curriculum objectives;

– access to learning experiences;

– the development of attitudes and dispositions.

C. Areas of Learning Curriculum:

• Subject Strands:

– mother-tongue language;

– modern foreign languages;

– mathematics;

– science and technology; – information and communication technology; – the humanities;

– the arts;

– physical education and sport, and

– social and civic literacy.

• Cross-curricular Skills:

– communication

– literacy

– numeracy

– using ICT.

• Thinking Skills and Personal Capabilities: managing information

– thinking, problem-solving and decision-making – being creative

– working with others

– initiative and entrepreneurship

– self-management.

However, as often, there is a huge discontinuity between the theory and practice. It is very rare for any ministry of education to draw upon either The Entitlement Curriculum or The Aims and Objectives Curriculum in the development of a national curriculum. Most frequently, they rely solely on the Areas of Learning Curriculum; but even then, they:

– concentrate on Subject Strands;

– focus on using ICT as a Cross-curricular Skill; but ignore communication, literacy and numeracy; and

– make little, other than passing refence, to Thinking Skills and Personal Capabilities.

Planning and organising the curriculum

The state’s role in determining the curriculum framework

Because it must provide pupils with the opportunity to choose the subjects that they wish to study as they mature, the Curriculum Framework needs to be determined at a national level. However, this need not be determined directly by the Ministry of Education. It could, and probably should, be determined by a Curriculum, Assessment and Qualifications Agency a non-ministerial department that reports directly to Parliament.

There are at least three aspects to planning and organising the curriculum.

– The State, through the Curriculum, Assessment and Qualifications Agency, should determine the Curriculum Framework that will provide pupils with the opportunity to choose the subjects that they which to study as they mature.

– Because the curriculum for older pupils is driven by external qualifications, the Curriculum, Assessment and Qualifications Agency should specify in detail both:

– the content, and

– the assessment and accreditation requirements of all subjects taught in schools.

Therefore, the Curriculum, Assessment and Qualifications Agency must ensure that the subject conditions and requirements:

– specify in detail the content of the subjects being studied;

form an effective introduction to university education in that subject; and prepare pupils for life after school.

Curriculum content

For all subjects, the Curriculum, Assessment and Qualifications Agency must, therefore, ensure that the level specifications set out the knowledge, understanding and skills in terms of their:

– Purpose;

– Aims and Objectives;

– Overarching Themes; and

– Detailed Subject Content.

The requirements for any subject studied to an advanced level must:

– define and assess achievement of the knowledge, skills and understanding which will be needed by pupils planning to progress to undergraduate study at a higher education establishment, particularly (although not only) in the same subject area;

– set out a robust and internationally comparable post-16 academic course of study to develop that knowledge, skills and understanding;

– permit universities to accurately identify the level of attainment of pupils;

– provide a basis for school and college accountability measures at age 19; and – provide a benchmark of academic ability for employers.

The role of the curriculum, assessment and qualifications agency in specifying the overall requirements of the curriculum for older pupils(for example, mathematics)

The level specifications set out the knowledge, understanding and skills in mathematics in terms of their:

– Purpose;

– Aims and Objectives;

– Overarching Themes;

– Content; and

– Detailed Subject Content.

Table 1. The Purpose of all Subjects Studied to an Advanced Level

The Purpose of all Subjects Studied to anAdvanced Leveldene and assess achievement of the knowledge, skills and understanding which willbe needed by pupils planning to progress to undergraduate study at a higher educationestablishment, particularly (although not only) in the same subject area;set out a robust and internationally comparable post-16 academic course of study todevelop that knowledge, skills and understanding;permit universities to accurately identify the level of attainment of pupils; to provide abasis for school and college accountability measures at age 18; andprovide a benchmark of academic ability for employers.

The specification in mathematics must require pupils to demonstrate the following overarching knowledge and skills. These must be applied, along with associated mathematical thinking and understanding, across the whole of the detailed content set out below.

Table 2. The Purpose of Mathematics

The Purpose of MathematicsAdvancedlevelmathematicsprovidesaframeworkwithinwhichalargenumberofyoungpeoplecontinuetostudythesubject.Itsupportstheirmathematicalneedsacrossabroadrangeofothersubjects atthis leveland providesa basisfor subsequentquantitative workin avery widerange ofhigher education courses and in employment.Advancedlevel mathematicsbuildsuponearlierwork inmathematicsandintroduces calculusanditsapplications.Itemphasiseshowmathematicalideasareinterconnectedandhowmathematicscanbe appliedtomodelsituations mathematicallyusingalgebraand otherrepresentations;tohelpmake senseof data; tounderstand the physicalworld andto solve problemsin a varietyof contexts,includingsocialsciencesandbusiness.Itpreparespupilsforfurtherstudyandemploymentinawiderange of disciplines involving the use of mathematics.Table 3. Overarching Themes of MathematicsOverarching Themes of MathematicsMathematical argument, language and proofMathematical problem solvingMathematical modelling

Timetable structure

There is no need for the Curriculum, Assessment and Qualifications Agency (on behalf of The State) to specify:

1. The number of periods during the week

2. The length of a period

3. The number of pupils in each class

4. The balance of subjects across the week.

These decisions should be left to the individual Leadership Teams and Governing Bodies. The Curriculum, Assessment and Qualifications Agency need only specify:

– the number of teaching/learning hours during the week; for example, a minimum of 25 hours;

– and the percentage of free choice that pupils have as the get older; for example, 35% in Grades 9 and 10 and 80% in Grades 11 and 12.

Table 4. Alternative Models for the Structure of the Timetable

Model AModel BModel CForm Period111Bulgarian Language andLiterature5 lessons5 lessons3 lessonsMathematics5 lessons5 lessons3 lessonsScience5 lessons5 lessons4 lessonsInformation Technology4 lessons3 lessons3 lessonsPE and Sport3 lessons2 lessons2 lessonsOptional Subjects3*4 lessons3*3 lessons3*3 lessonsTOTAL35 lessons30 lessons25 lessons

Table 4 illustrates three models for the allocation of lessons:

a) in Model A there are 35 – 45-minute lessons;

b) in Model B there are 30 – 50-minute lessons; but

c) in Model C there are 25 – 60-minute lessons.

There could even be a 2-week timetable (Model D) in which there are 40 75-minute periods: the longer the individual lessons, the more likely the school will have to adopt a 2-week timetable. This decision should be delegated to the school leadership team; it is not necessary for the Curriculum, Assessment and Qualifications Agency to specify the structure of the timetable.

How the curriculum framework could change as pupils mature

The priority of education is respect for the agency and choice of the individual. Curriculum Notation can be used to illustrate how the curriculum could be structured and organized so that the pupils have a choice in subjects that they wish to study as they mature.

Curriculum notation

Curriculum notation provides a pictorial representation of the structure and organisation of the curriculum and timetable. It has fixed conventions that enable the school director, the inspector or the consultant to indicate:

– the number of pupils and tutor groups in each grade and the number of lessons in the timetable cycle, the number of pupils in each lesson and the number of lessons of each subject;

– whether pupils are taught in their tutor groups (no boxes);

– whether all the lessons in a particular subject are ‘blocked’ or taught at the same time (open boxes); enabling the lead teacher in each subject to set the pupils by ability, more able pupils being taught in larger classes; less able pupils are taught in smaller classes;

– whether extra teachers are allocated to create smaller groups (closed boxes);

– whether there is a choice of subject (closed boxes).

It is important to remember that what follows are examples, not centrally determined outcomes. The detail will be worked out by the individual school and will, therefore, vary from school to school.

When linked to the Staff Deployment Analysis, Curriculum Notations for all grades, provide important Intervening Performance Indicators (Budgell 2022a); e.g.;

– pupil/teacher ratio;

– percentage contact time;

– average class size.

Grade 7

A broad and balanced curriculum should be compulsory for all pupils, for example:

– Form Period (FP), Bulgarian Language and Literature (BLL), Mathematics (Ma), Science (SC), Information Technology (IT), English (En) or German (Ge), History (Hi), Geography (Gg), Art (Ar), Music (Mu), Drama (Dr) and Physical Education (PE).

Table 5 exemplifies the Curriculum Notation for Grade 7 in a community school:

– the number of pupils (156) and tutor groups (6) in each grade and the number of lessons in the timetable cycle (e.g., 30 lessons per week), the number of pupils in each lesson and the number of lessons of each subject;

– the Form Period, History, Geography, Art, Music and Drama are taught in the tutor groups (no boxes),

– Bulgarian Language and Literature, Mathematics and Science

– are ‘blocked’ or taught at the same time (open boxes); enabling the lead teacher in each subject to set the pupils by ability; more able pupils being taught in larger classes; less able pupils are taught in smaller classes;

– there are addition teachers in Information Technology and Physical Education to create smaller groups (closed boxes);

– in modern foreign languages, there is a choice of subject – English or German (closed boxes).

Table 5. Curriculum Notation for Grade 7

Grade 8

The curriculum will depend on whether immersion teaching in a Modern Foreign Language is continued in its current format; but it will still be unified for all pupils.

Grades 9 and 10

In Grade 9, the element of choice is introduced – pupils can choose what to study for 35% curriculum time. There will be a Core Curriculum and a free choice of 3 or 4 Optional Subjects that the school offers.

The Optional Subjects will depend on the teachers’ expertise and the pupil population, but could include:

Academic Subjects

– Art, Drama, Music, Economics (Ec), Geography, History, English, German, Russian (Ru), Informatics (Inf) and Information Technology.

Vocational Subjects

– Accountancy (Acc), Business Studies (BS), Electronic Systems (ES), Health and Social Care (HSC), Travel and Tourism (TT).

Additional Support

– Bulgarian Language and Literature and Mathematics.

The range of subjects will depend on the size of the school: the bigger the school the wider the range of subjects. The school could also choose to bring Information Technology into the Compulsory Core and reduce the number of Option Blocks – but again, this is a school decision. At this stage, there are Vocational Education courses, there are no specific Vocational Training courses.

Table 6A exemplifies the Curriculum Notation for Grade 10 in a high school: again, a school with 156 pupils and tutor groups in each grade, but with 35 lessons in the timetable cycle. In Grade 10:

– only the Form Period and Physical Education are taught in the tutor groups;

– Bulgarian Language and Literature, Mathematics and Science are ‘blocked’ and allocated an additional teacher; the lead teachers have also established very small groups for less able pupils with larger groups for the more able pupils;

– Information Technology is allocated two extra teachers and is half-grade blocked; there are 8 teaching groups but they are all about the same size;

– there are the four Option Blocks; at the end of Grade 8 the pupils are asked to choose the four additional subjects (usually with one reserve) that they wish to study in Grades 9 and 10; timetabling software then arranges the subjects into the Option Blocks so that the maximum number of pupils can get their 4 choices (maybe with some having to study their reserve); obviously, all the subjects within an Option Block (a closed box) are taught at the same time;

– the low-attaining pupils in the bottom sets in Bulgarian Languages and Literature and in Mathematics can have additional lessons in Option Block 2 and Option Block 3.

The benefit of organising the Option Blocks this way is that it maximizes the pupils’ agency and choice and their decisions do not have to be made until the end of Grade 8, rather than the end of Grade 7.

However, it does not ensure breadth and balance:

– Pupil A could choose to study Art, English, German and Russian;

– Pupil B could choose to study Business Studies, Economics, Geography and History; while

– Pupil C could choose to study Accountancy, Business Studies, Informatics and have further support in Bulgarian Language and Literature; furthermore

– sometimes a small number of pupils may have to swap their fourth and fifth choices.

The real costs, however, are in the time and effort necessary to construct the Option Blocks and the timetable.

Table 6A. Curriculum Notation for Grades 9 and 10

Table 6B exemplifies an alternative strategy for compiling the Option Blocks.

Everything else is the same as Table 6A, but in Table 6B, the Option Blocks are preformed. The school has constructed a Humanities Block, a Languages Block, an

Arts Block and a Vocational Block: the pupils have to choose one subject from each block. In this model, the benefit lies in greater breadth and balance; pupils cannot choose four humanities courses, four languages courses or four vocational courses and the whole process is easier to manage for the school. The cost, however, is in pupils’ choice and agency.

Table 6B. Curriculum Notation for Grades 9 and 10

Pupils who do not wish to continue with an Academic Education after Grade 10, can leave their High School and transfer to a Vocational (or Tertiary) College where they can follow a programme of Vocational Education and Training (Budgell 2022b).

Grades 11 and 12

Even greater choice is introduced at this stage; around 80% of curriculum time (Table 7). There will also be a Form Period, a programme of PE and Sports; in addition, there will be compulsory courses in Literacy and Numeracy. These will be distinct from the academic courses in Bulgarian Language and Literature and Mathematics. The pupils can then choose 4 from a wide range of advanced courses (5 lessons). Once more, the range of subjects will depend on the size of the school; the bigger the school the wider the range of subjects.

Table 7. Option Choices in Grades 11 and 12

Bulgarian Languageand LiteratureBulgarian LanguageBulgarian LiteratureMathematicsFurther MathematicsPhysicsChemistryBiologyEnglish
GermanRussianHistoryGeographyGeologySociologyEconomicsAstronomyPsychologyInformation TechnologyInformaticsTravel and TourismAccountancyBusiness StudiesElectronic SystemsHealth and Social Care

Table 8 exemplifies the Curriculum Notation for Grades 11 and 12 in a high school: again, a school with 156 pupils and tutor groups in each grade, but with 30 lessons in the timetable cycle. In Grades 10 and 12:

– the Form Period (1 lesson), Physical Education (3 lessons), the Elements of Literacy (3 lessons), and the Elements of Numeracy (3 lessons) are taught in the tutor groups;

– then there are the four Option Blocks (5 lessons); at the end of Grade 10 the pupils are asked to choose the four subjects that they wish to study in Grades 11 and 12; timetabling software then arranges the subjects into the Option Blocks so that the pupils can get their 4 choices; obviously, as above, all the subjects within an Option Block (a closed box) are taught at the same time;

– the low-attaining pupils will have transferred to a vocational college.

At this advanced level, there is no attempt to ensure breadth and balance:

– Pupil A could choose to study Mathematics, Further Mathematics, Physics and Chemistry;

– Pupil B could choose to study Bulgarian Language, Bulgarian Literature, German and Russian; while

– Pupil C could choose to study Accountancy, Business Studies, Informatics and Bulgarian Language and Literature;

The Option Blocks are organised to maximise pupils’ agency and choice; and their decisions do not have to be made until the end of Grade 10; rather than the end of Grade 7.

Again, the annual cost to the school is in the time and effort necessary to construct the Option Blocks and the timetable; the short-term cost to the Curriculum, Assessment and Qualifications Agency will be the development of a wider range of examinations and teacher assessments in the Secondary School Diploma.

Table 8. Curriculum Notation for Grades 11 and 12

Literacy and numeracy

To succeed in today’s data-driven and interconnected world, it is essential that all pupils develop strong literacy and numeracy skills. Literacy and Numeracy are:

– life-long and active processes that begin at birth and develop throughout one’s lifetime;

– foundational to successful living, learning and participating in today’s society – used to make decisions that impact one’s life;

– the means through which students develop knowledge and understanding in each subject/discipline area; and

– a shared responsibility of all school educators in all subjects or disciplines Literacy and numeracy are used every day when we interpret a utility bill, choose a mobile phone plan, answer an email, post a message on social media, figure out how much paint to buy, compare prices at the grocery store or interpret a political cartoon.

Literacy is critical in helping us make sense of our world. From the time we wake up to the time we go to sleep, we are constantly making meaning of the world around us. Literacy can be thought of as just reading and writing; however, the understanding of literacy must encompass much more. Literacy should be defined as the ability, confidence and willingness to engage with language to acquire, construct and communicate meaning in all aspects of daily living. Language must be explained as a socially and culturally constructed system of communication (Hoggart 1957), Deller (1997) and Bulajic, Despotovic and Lachmann (2019), Alberta Education (2022).

Numeracy is critical for the interpretation of a data-driven world. Numeracy should be defined as the ability, confidence and willingness to engage with quantitative and spatial information to make informed decisions in all aspects of daily living. Everyday life presents quantitative or spatial information that needs to be interpreted and used (Reichmamm 1973), Paulus (2001), Ellenberg (2014) and Brooks (2021), Alberta Education (2022).

Table 9. The Elements of Literacy

Literacyis the ability, condence and willingness to engage with language* to acquire,construct and communicate meaning in all aspects of daily living.* Language is a socially and culturally constructed system of communicationComponentElementsLiteracy AwarenessImportance of Literacy:pupils recognize that literacyprovides enjoyment and enables them to make sense of andparticipate in the world around them.Learner Awareness:pupils identify what they know, areable to do and need to learn when engaging in tasks thatinvolve literacy.Task Awareness:pupils are aware of the literacy demandswithin a task.ComponentElementsLiteracy Knowledge andUnderstandingRules of Language:pupils use rules of language toacquire, construct and communicate meaning.AcquireInformationAcquire Information:pupils use e󰀩cient and e󰀨ectivestrategies to acquire, evaluate and ethically use information.Construct Meaning:pupils use e󰀩cient and e󰀨ectivestrategies to construct meaning. CommunicateCommunicate Meaning:pupils communicate to conveyconcepts, ideas and understandings.

Table 10. The Elements of Numeracy

Numeracyis the ability, condence and willingness to engage with quantitative* orspatial** information to make informed decisions in all aspects of daily living.* Quantitative information is information that can be measured and expressed as anamount.** Spatial information is the physical location of objects or people, or the relationshipbetween objects or people.
ComponentElementsNumeracy AwarenessImportance of Numeracy:pupils recognize that numeracyenables people to make informed decisions in all aspects ofdaily living.Learner Awareness:pupils identify what they know, are ableto do and need to learn when engaging in tasks that involvenumeracy.Task Awareness:pupils are aware of the numeracy demandswithin a task.ComponentElementsNumeracy Knowledgeand UnderstandingQuantitative Information:pupils apply knowledge ofquantitative information to make an informed decision. SpatialInformationSpatial Information:pupils apply knowledge of spatialinformation to make an informed decision.Interpret, Represent and Communicate:pupils interpret,represent and communicate in a variety of digital and non-digital formats to support decisions in situations involvingnumeracy.Strategies, Methods and Tools:pupils use e󰀩cient ande󰀨ective strategies, methods or tools to manage quantitativeor spatial information.

Teachers’ planning of the content, teaching and assessment of the curriculum

Within The School, the teachers need to plan in detail how and when they are going to organise the content, the teaching and the assessment of the curriculum in their subject. They will need to plan beyond the Subject Strands; they will need to ensure that:

Cross-curricular Skills:

– communication;

– literacy;

– numeracy;

– using ICT;

and

Thinking Skills and Personal Capabilities:

– managing information;

– thinking, problem-solving and decision-making;

– being creative;

– working with others;

– initiative and entrepreneurship;

– self-management;

are built into the classroom experience of the pupils.

The School is then responsible for:

– informing the Governors, parents and pupils, in detail, about the structure and organisation of curriculum; and

– presenting to Governors, parents and pupils the results of any evaluation of the pupils’ performance in internal and external examinations.

Endnote

Assessment and accreditation

The Curriculum, Assessment and Qualifications Agency will need to decide whether there should be a formal assessment of the pupils’ standards of achievement at the end of Grade 10 and Grade 12. Then, in order to both:

– increase Agency and Choice; and

– improve Breadth and Balance it will need to establish the level specifications that set out the knowledge, understanding and skills of a wider range of subjects [maybe at both a basic (Grade 10) and an advanced level (Grade 12)] in terms of their:

– Purpose;

– Aims and Objectives;

– Overarching Themes;

– Content; and

– Detailed Subject Content;

This could be achieved by:

– dividing some courses currently available and increasing the breadth and depth of the new ‘single’ subjects, e.g.;

– Bulgarian Language and Literature could be taught and examined as one or two subjects,

– Chemistry and Environmental Science could be taught and examined as two subjects,

– Physics and Astronomy could be taught and examined as two subjects,

– Geography and Economics could be taught and examined as two subjects;

establishing new academic courses, e.g.;

– Further Mathematics,

– Biology,

– Philosophy,

– Psychology,

– Sociology; and

establishing new vocational courses, e.g.;

– Business Studies,

– Electronic Systems,

– Health and Social Care,

– Informatics,

– Information Technology, – Travel and Tourism.

REFERENCES

ALBERTA EDUCATION, 2022. www.alberta.canada.ca/literacy and numeracy

BROOKS, M., 2021. How Mathematics Created Civilisation. London, England: Scribe

BUDGELL, P., 2022a. Key Performance Indicators. Sofia: “Az-buki” Education and Scientific Policies (Submitted for publication)

BUDGELL, P., 2022b. Alternative Approaches to Vocational Education and Training – Part 2. Sofia: “Az-buki” Vocational Education (Submitted for publication)

BUDGELL, P. and KUNCHEV, M., 2019. General Theory of Education. Annual Professional Development Meeting for Teachers and Principals. Plovdiv, America for Bulgaria Foundation.

BULAJIC, A., DESPOTOVIC, M. and LACHMANN, T., 2019. Understanding functional illiteracy from a policy, adult education, and cognition point of view: Towards a joint referent framework. Zeitschrift für Neuropsychologie 30(2), 109 – 122.

DELLER, J., 1999. The Uses of Literacy. London, England: Book Works

ELLENBERG, J., 2014. How not to be Wrong, The Hidden Maths of Everyday Life. London, England: Penguin

HARGADON, S., 2015. Using Education to Serve the Individual. www. getacclain.com

HOGGART, R., 2009. The Uses of Literacy. London, England: Penguin.

PAULUS, J., 2001. Innumeracy: Mathematical Illiteracy and Its Consequences. Washington, USA: Turtleback Books

REICHMANN, W. J., 1973. Use and Abuse of Statistics. London, England: Penguin

SHAPIRO, J., 2014. Using the education system to create the world we want. www.getacclaim.com

UNESCO, 2017. Learning to Live Together: The Role of Education.

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