1. Research of Lessons with on-site monitoring Ministerio de Educación República del Perú

2. Framework of the implementation of the research of mathematics lessons Results of the students‘ evaluation of 2 nd grade of Elementary (every year). Implementation of the new National Curriculum, approved in December, 2009. Specialization Program for teachers of the 1 st and 2 nd grade of Elementary in the areas of Communication and Mathematics.

3. General Goal Sustained application of a pedagogic practice based in the cooperative research for the development of mathematical capacities in the students.

4. Goals of the Countrywide Students Evaluation (ECE)-2008 –To know the level of achievement of the students of the second grade in Understanding of written texts and in the use of the numbers and their operations to solve exercises. –To establish comparisons between the results obtained in the ECE- 2007 versus the ECE-2008 with the intention of measuring the changes in the achievements of the students’ learnings. –To report results to all the actors involved in the educational task in order that they take decisions to improve the quality of the learnings of the students.

5. What was evaluated at the ECE-2008? The processes of construction of meanings that are developed by reading different types of text Understanding of written texts Mathematics The use of the numbers, their characteristics and operations to solve diverse exercises of real and mathematical context.

6. Framework for the test of Mathematics The test of Mathematics was elaborated according to the National Curriculum (DCN) of 2008, from the skills and competences proposed for every Cycle of the Basic Education. Considering that the students, at the end of the second year of elementary consolidate the fundamental learnings related to the notion of number, the numeration and the additing structure of the natural numbers (structure shaped by the addition and subtraction, their characteristics and the exercises associated with it).

7. Goal of the ECE-2008 in the area of Mathematics To know the Level of achievement of each student of the second grade in the understanding of the numbers, their representations, the arithmetical operations and the application of these concepts to solve diverse exercises.

8. How are results reported? Levels of achievement The results of the tests are reported through two levels of achievement. Every level describes what the students can do in understanding of texts and mathematics. In the level 2 are located the students who achieve the learnings of that grade. In the level 1 are located the students who are in the process of the awaited achievement. Below the level 1 are located those who did not achieve all the learnings of the level 1. Levels of achievement

9. Difference of results ECE-2008 vs. ECE-2007 Mathematics Achievement ECE-2008ECE-2007Difference %% Level 2 9,47,22,2 Level 1 35,936,3-0,4 < Level 1 54,756,5-1,8 Countrywide

10. From the shown information, we can see that only 9,4 % of students are in the Level 2. This means that 90,6 % has difficulties to solve exercises that require to reason or to develop strategies of their own; to use diverse meanings for the operations; as well as to use not conventional representations of the numbers and to completely understand the system of dozens and units.

11. Implementation of the DCN Implementation Of the DCN School Texts Educational Materials Curricular Diversification Methodological orientations for The Mathematics workbooks. Utilization of the material in the development of Mathematical activities of the book, notebook or others Adjustment of the Skills of the DCN, according to Characteristics and Level of the development Of The child.

12. Development of mathematical skills Improvement in the development of mathematical skills. Educational Materials Educational training On-site monitoring Educational performance Student performance Implementation of the DCN

13. Program of educational specialization in Communication and Mathematics for the cycle III EBR Goals of the program Teachers with good performances

14. Pilot of the lesson study 1st. Sensitization of the teachers of the Pedagogic Institute, who are the trainers of the Program of training and educational specialization in Communication and Mathematics for the cycle III EBR. 2nd. Application of strategies of research-action in the Pilot of study of lessons with students of the last cycle of Educational Training (Professional Practice)). 3rd. Implementation of the lesson study with teachers of the Program of training and specialization in the actions of on-site monitoring.

15. Phase of Sensitization Duration : September – October 2009. Participants: –Students of the last Cycle of Initial Formation, stage of Professional Practice. –Teachers of the Pedagogic Institute, advisers of the Practice students, and simultaneously, trainers of the Program of Educational Specialization in Communication and Mathematics

16. Contents Developed (September - October 2009) Mathematical competences. Transverse processes of the area of mathematics. Development of mathematical skills. Operations of the logical mathematical thinking: classification, concept of number, representation. Knowledge of space and notion of time, understanding of time and the representation. Cognitive requirements in the mathematical activities. Characteristics of the activities of high and low cognitive requirements. Evaluation of mathematical competences. Indicators of achievement of the learnings. General orientations for the elaboration of other sessions with mathematical activities.

17. Methodology of the meetings Meetings / workshops, in which the different proposed contents were developed, with support of the materials and educational resources. Execution of the session of learning. Application of instruments for the record of evidences (photos, videoes, instruments) of the pedagogic processes. Analysis of the practices tested in the session, focusing on the aspects developed in the workshops of implementation: transverse processes of the area, cognitive processes and operations of the logical mathematical thinking, activities according to cognitive requirements. Programming of mathematical activities for the meetings.

18. RESULTS 2009 30 students of the last Cycle of vocational training qualified in strategies of research-action through the lessons of study. 5 teachers of the Pedagogic Institute, advisers of the pedagogic practice, sensitized in the study of mathematical lessons. Strengthening in the mathematical training of the students of the last Cycle of vocational training. Thinking and analysis of 3 lessons of study for 3rd year of elementary, relative to: –Interpretation of fractions. –Comparison of fractions. –Addition of fractions.

19. Hanging tasks Elaboration of document for the teacher with methodological lines for the education of the fractions. Implementation of the strategies of research-action in the lessons study, for the on-site monitoring of the teachers of the Program of Educational Specialization in Communication and Mathematics. Edition of videoes

20. On Site Monitoring Watch and register, in a respectful way, the different aspects of the pedagogic process during a session of learning. Talks in an empathic way with the accompanied teacher, on those aspects of their practice that have called the attention as strength or weakness. Also talks with the children about their perceptions, needs and expectations. Thinks and share commitments about improving the role of accompaniment and of the educational labor in the classroom.