Research On The Teaching Design Of High School Mathematics Propositions To Develop Logical Reasoning Literacy

Logical reasoning ability has long been the focus of researchers in the field of mathematics education."Reasoning ability" is included in the ten core concepts,"reasoning" as one of the five basic mathematical abilities in high school,its importance is self-evident.The general high school mathematics curriculum standard(2017 edition)proposes six core mathematical qualities,which are placed in the same position as the curriculum objectives,and the logical reasoning qualities contained in them quickly become the focus of the mathematics education circle.The present high school thesis teaching exists heavy type reinforced light and heavy conclusion explore light conclusion using problems of logic accomplishment in using reasoning conjecture,value proposition origin and exploration process,just can make up the loss,and proposition,certificate,application and network system construction for logical reasoning literacy development provides a good way.Therefore,they promote each other and complement each other,which is worthy of attention and research,so that students' logical reasoning quality can be truly implemented in the teaching of high school propositions.This study mainly adopts the research methods of literature research,interview,classroom observation and case analysis.Firstly,from the relevant literature,research theory,curriculum requirements,etc.,the elements of logical reasoning literacy are analyzed.Then,according to the characteristics of proposition teaching,the description of the connotation and evaluation of logical reasoning literacy in the new curriculum standards,the author comprehensively formed the mathematical proposition teaching requirements for the development of high school students' logical reasoning literacy.Next,the author investigates and studies according to the requirements,collates the data and analyzes to summarize the existing problems.Finally,based on the research results,the researchers in this paper propose strategies and select typical content design teaching cases in propositional teaching.The author obtained through research that the requirements for the development of logical reasoning literacy in high school propositional classroom teaching are as follows: theintroduction of propositional teaching emphasizes the situation and the students' subject participation;Propositional proof should fulfill the requirements of knowledge preparation,prove the diversity of ideas and methods,and prove the requirements of process.The application of propositions should meet the requirements of variational diversity and practical application.The construction of propositional system should attach importance to the requirements of connection,integrity and communication.From the status quo survey reflects the reality in the practical teaching and scientific situation less concerned,teachers' understanding of students' subjectivity does not reach the designated position,the integrated use of diverse methods and guide the degree is not enough,lack of emphasis on and strengthen of mathematical language,does not pay attention to guide students to think in contact and the overall point of view the relationship between propositions,cultivate students' logical expression,the problems such as weak consciousness of reflection ability.In order to solve the problems and meet the requirements,the corresponding design strategies are put forward:(1)Teachers create a real and rich problem situation,improve the participation of students,the introduction of mathematical proposition.(2)Teachers adopt a combination of guessing and proof,multiple arguments,strengthen language conversion,and clarify mathematical propositions.(3)Teachers connect with the reality of life in the teaching,strengthen the guidance of one question and multiple ideas,and apply mathematical propositions.(4)Teachers use a "relationship diagram" to embody the teaching process,emphasize proposition combing,and construct a mathematical proposition system.And the author takes "binomial theorem","the first n terms of the arithmetic sequence" and "three axioms of plane" as examples for teaching design attempts.